# SSAT Upper Level Math : How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem

## Example Questions

### Example Question #1 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7

The base and height of a right triangle are each 1 inch. What is the hypotenuse?      Explanation:

You need to use the Pythagorean Theorem, which is .

Add the first two values and you get . Take the square root of both sides and you get .

### Example Question #131 : Geometry Give the perimeter of the above parallelogram if .      Explanation:

By the Theorem: , and The perimeter of the parallelogram is ### Example Question #1 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

A right triangle has legs with lengths of units and units. What is the length of the hypotenuse? units units units units units

Explanation: Using the numbers given to us by the question, units

### Example Question #1 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

A right triangle has legs with the lengths and . Find the length of the hypotenuse.     Explanation:

Use the Pythagorean Theorem to find the length of the hypotenuse.  ### Example Question #1 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Find the length of the hypotenuse in the right triangle below.      Explanation:

Use the Pythagorean Theorem to find the hypotenuse.   ### Example Question #141 : Geometry

If James traveled north and John traveled west from the same town, how many miles away will they be from each other when they reach their destinations?      Explanation:

The distances when put together create a right triangle.

The distance between them will be the hypotenuse or the diagonal side.

You use Pythagorean Theorem or to find the length.

So you plug and for and which gives you, or .

Then you find the square root of each side and that gives you your answer of . 