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Example Questions
Example Question #21 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Given the right triangle in the diagram, what is the length of the hypotenuse?
To find the length of the hypotenuse use the Pythagorean Theorem:
Where and
are the legs of the triangle, and
is the hypotenuse.
The hypotenuse is 10 inches long.
Example Question #22 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Triangle ABC is a right triangle. If the length of side A = 3 inches and C = 5 inches, what is the length of side B?
4 inches
6 inches
1/2 inches
1 inches
4.5 inches
4 inches
Using the Pythagorean Theorem, we know that .
This gives:
Subtracting 9 from both sides of the equation gives:
inches
Example Question #21 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Triangle ABC is a right triangle. If the length of side A = 8 inches and B = 11 inches, find the length of the hypoteneuse (to the nearest tenth).
184 inches
14.2 inches
185 inches
13.6 inches
13.7 inches
13.6 inches
Using the Pythagrean Theorem, we know that .
This tells us:
Taking the square root of both sides, we find that inches
Example Question #102 : Geometry
Given:
A = 6 feet
B = 9 feet
What is the length of the hypoteneuse of the triangle (to the nearest tenth)?
10.1 feet
10.8 feet
10.6 feet
10.5 feet
10.2 feet
10.8 feet
Using the Pythagrean Theorem, we know that .
This tells us:
Taking the square root of both sides, we find that
Example Question #31 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Given:
A = 2 miles
B = 3 miles
What is the length of the hypoteneuse of triangle ABC, to the nearest tenth?
3.5 miles
3.6 miles
3.2 miles
3.7 miles
3.4 miles
3.6 miles
Using the Pythagrean Theorem, we know that .
This tells us:
Taking the square root of both sides, we find that
Example Question #25 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Given that two sides of a right triangle measure 2 feet and 3 feet, respectively, with a hypoteneuse of x, what is the perimeter of this right triangle (to the nearest tenth)?
3.6 feet
9.4 feet
8.6 feet
6.4 feet
18 feet
8.6 feet
Using the Pythagrean Theorem, we know that .
This tells us:
Taking the square root of both sides, we find that
To find the perimeter, we add the side lengths together, which gives us that the perimeter is:
Example Question #26 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Example Question #71 : Plane Geometry
Kathy and Jill are travelling from their home to the same destination. Kathy travels due east and then after travelling 6 miles turns and travels 8 miles due north. Jill travels directly from her home to the destination. How miles does Jill travel?
Kathy's path traces the outline of a right triangle with legs of 6 and 8. By using the Pythagorean Theorem
miles
Example Question #22 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Example Question #1241 : Basic Geometry
What is the value of the hypotenuse of the right triangle ?
There are two ways to solve this problem. The first is to recognize that the right triangle follows the pattern of a well-known Pythagorean triple: .
The second is to use the Pythagorean Theorem:
, where
and
are the lengths of the triangle sides and
is the length of the hypotenuse.
Plugging in our values, we get:
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