### All SSAT Upper Level Math Resources

## 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?

**Possible Answers:**

**Correct answer:**

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 #1 : Apply The Pythagorean Theorem To Find The Distance Between Two Points In A Coordinate System: Ccss.Math.Content.8.G.B.8

Give the perimeter of the above parallelogram if .

**Possible Answers:**

**Correct answer:**

By the Theorem:

, and

The perimeter of the parallelogram is

### Example Question #2 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7

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

**Possible Answers:**

units

units

units

units

**Correct answer:**

units

Using the numbers given to us by the question,

units

### Example Question #3 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7

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

**Possible Answers:**

**Correct answer:**

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.

**Possible Answers:**

**Correct answer:**

Use the Pythagorean Theorem to find the hypotenuse.

### Example Question #2 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

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?

**Possible Answers:**

**Correct answer:**

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 .