How to find the length of the diagonal of a rectangle - Geometry
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A rectangle has a width of 
and a length that is 
shorter than twice the width. What is the length of the diagonal rounded to the nearest tenth?
A rectangle has a width of
First we must find the length of the rectangle before we can solve for the diagonal. With a length 
shorter than twice the width, we can solve for length by drafting an algebraic equation:
Now that we know the values for length and width, we can use the Pythagorean Theorem to solve for the diagonal:
First we must find the length of the rectangle before we can solve for the diagonal. With a length
Now that we know the values for length and width, we can use the Pythagorean Theorem to solve for the diagonal:
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Find the length of the diagonal of a rectangle with side lengths 6 and 7.
Find the length of the diagonal of a rectangle with side lengths 6 and 7.
To find the diagonal of a rectangle recall that the diagonal will create a triangle where the width and length are legs of the triangle and the diagonal is the hypotenuse.
To solve, simple use the Pythagorean Theorem and solve for the hypotenuse, which will be the diagonal of the rectangle.
Thus,
To find the diagonal of a rectangle recall that the diagonal will create a triangle where the width and length are legs of the triangle and the diagonal is the hypotenuse.
To solve, simple use the Pythagorean Theorem and solve for the hypotenuse, which will be the diagonal of the rectangle.
Thus,
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Find the length of the diagonal of a rectangle with length 7 and width 2.
Find the length of the diagonal of a rectangle with length 7 and width 2.
To solve, simply use the Pythagorean Theorem. Thus,
To solve, simply use the Pythagorean Theorem. Thus,
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A rectangle has a length of 12 in and a width of 5 in. What is the diagonal of the rectangle?
A rectangle has a length of 12 in and a width of 5 in. What is the diagonal of the rectangle?
To find the diagonal we use the Pythagorean Theorem:
where 
= hypotenuse
or 
To find the diagonal we use the Pythagorean Theorem:
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Find the length of the diagonal.
Find the length of the diagonal.
The rectangle can be cut into two equal right triangles, where the hypotenuse of both is the rectangle's diagonal.
Use the Pythagorean Theorem to find the hypotenuse:
, where a and b are the legs and c is the hypotenuse
The rectangle can be cut into two equal right triangles, where the hypotenuse of both is the rectangle's diagonal.
Use the Pythagorean Theorem to find the hypotenuse:
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One side of a rectangle is 7 inches and another is 9 inches. How many inches long is the rectangle's diagonal?
One side of a rectangle is 7 inches and another is 9 inches. How many inches long is the rectangle's diagonal?
You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.
You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.
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A rectangle has a height of 
and a base of 
. What is the length of its diagonal rounded to the nearest tenth?
A rectangle has a height of
1. Use Pythagorean Theorem with 
and 
.
2. Solve for 
, the length of the diagonal:
This rounds down to 
because the hundredth's place (
) is less than 
.
1. Use Pythagorean Theorem with
2. Solve for
This rounds down to
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The sides of rectangle ABCD are 4 in and 13 in.
How long is the diagonal of rectangle ABCD?
The sides of rectangle ABCD are 4 in and 13 in.
How long is the diagonal of rectangle ABCD?
A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem:
where a and b are the sides of the rectangle and c is the length of the diagonal.
A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem:
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A standard high school basketball court is 84 feet long and 50 feet wide. During practice, Coach K has Kyrie run from one the right corner on one end of the court to the left corner at the other end of the court. To the nearest foot, how far did Kyrie run?
A standard high school basketball court is 84 feet long and 50 feet wide. During practice, Coach K has Kyrie run from one the right corner on one end of the court to the left corner at the other end of the court. To the nearest foot, how far did Kyrie run?
A picture helps greatly with this problem, so we begin with a rectangular basketball court.
We note that the distance run by Kyrie (drawn in red) is the diagonal of our rectangle, which we will call 
. We should also not that this diagonal divides our rectangle into two congruent right triangles. We can therefore find the length of our diagonal by focusing on one of these triangles and determining the hypotenuse. This can be done with the Pythagorean Theorem, which gives us:
Taking the square root gives us
Rounding to the nearest foot gives an answer of 98.
A picture helps greatly with this problem, so we begin with a rectangular basketball court.
We note that the distance run by Kyrie (drawn in red) is the diagonal of our rectangle, which we will call
Taking the square root gives us
Rounding to the nearest foot gives an answer of 98.
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Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a length of 
and a width of 
.
Find the length of the diagonal of a rectangle that has a length of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above
Find the length of the diagonal of a rectangle that has a width of 
and length of 
?
Find the length of the diagonal of a rectangle that has a width of
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Compare your answer with the correct one above