# Intermediate Geometry : How to find the length of the hypotenuse of an acute / obtuse triangle

## Example Questions

### Example Question #1 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

An acute scalene triangle has one side length of inches and another of inches. Find the length of the hypotenuse.     Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.

Thus, the solution is:    ### Example Question #2 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle Find the hypotenuse of the obtuse isosceles triangle shown above.     Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.

Thus, the solution is:   ### Example Question #3 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

A scalene triangle has one side length of yards and another side length of yards. Find the hypotenuse.     Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.

Thus, the solution is:   ### Example Question #4 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle Find the hypotenuse of the obtuse isosceles triangle shown above.     Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.

Thus, the solution is:   ### Example Question #5 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

An isosceles right triangle has two sides with a length of inches each. Find the length of the hypotenuse.     Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.

Thus, the solution is:    ### Example Question #6 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

A scalene right triangle has one side length of inches and another side length of inches. Find the length of the hypotenuse.     Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.

Thus, the solution is:    