# 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 #1 : 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 #2 : 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 #3 : 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 #4 : 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.