Basic Geometry : Triangles
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Example Questions
Example Question #86 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
A right triangle has one side measuring 
By using the Pythagorean Theorem 
This is done by plugging in 
Example Question #321 : Triangles
Find the hypotenuse of a triangle whose side lengths are 10 and 3.
To solve, simply use the Pythagorean Theorem.
The hypotenuse is the c value in the equation and the two smaller leg lengths are a and b.
Let,
thus,
Example Question #322 : Triangles
Find the hypotenuse of a right triangle with width and length 3 and 5 respectively.
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,
Example Question #89 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
The two shortest sides of a right triangle are each 
The Pythagorean Theorem states that:
Because we know that 
Therefore, the triangle's hypotenuse is 
Example Question #90 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Find the length of the hypotenuse using Pythagorean Theorem.
The triangle has two other sides with lengths 3 and 4 inches.
The formula for Pythagorean Theorem is,
C is the hypotenuse and A and B are the other two sides. To begin Pythagorean Theorem the order of A and B does not matter.
If A is 3 and B is 4 then,
You must find C and not c squared. Therefore to get rid of the squared you must do the opposite of squaring something, which is the square root of something.
5 inches
Example Question #91 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Find the length of the hypotenuse of the following right triangle.
Recall the Pythagorean Theorem, which is used to find the length of the hypotenuse.
For any triangle with leg lengths of 
Take the square root of both sides to find the length of the hypotenuse.
Plug in the given values to find the length of the hypotenuse.
Simply:
Example Question #513 : Geometry
Justin travels 
This is solving for the hypotenuse of a triangle. Using the Pythagorean Theorem, which says that 
Example Question #134 : Right Triangles
A right triangle has side lengths of 20 inches and 19 inches. What is the length of its hypotenuse?
None of these.
We can find any one missing side of a right triangle with the Pythagorean theorem.
Simplify and take the square root of both sides:
Example Question #91 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Given the right triangle above, find the length of the hypotenuse.
To find the length of the hypotenuse, we will use the Pythagorean Theorem
In this formula, c represents the hypotenuse whereas a and b represent the base and height of the right triangle.
So, first we must square the values of the given sides of the triangle.
and
Next, we must add these two solutions to get 
The hypotenuse will be the square root of this number, so using our calculator we can estimate the length of the hypotenuse to be the decimal:
Example Question #91 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Given the right triangle above, find the length of the hypotenuse.
To find the length of the hypotenuse, we will use the Pythagorean Theorem
In this formula, c represents the hypotenuse whereas a and b represent the base and height of the right triangle.
So, first we must square the values of the given sides of the triangle.
and
Next, we must add these two solutions to get 
The hypotenuse will be the square root of this number, so using our calculator we can estimate the length of the hypotenuse to be the decimal:
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