### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #1 : Properties Of Triangles

A right triangle has a hypotenuse of 39 and one leg is 36. What is the length of the other leg?

**Possible Answers:**

**Correct answer:**

You may recognize these numbers as multiples of 13 and 12 (each by a factor of 3) and remember that sides of length 5, 12 and 13 make a special right triangle. So the other leg would be 15 .

If you don't remember this, you can use Pythagorean theorem:

### Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

A right triangle has a hypotenuse of and one leg has a length of . What is the length of the other leg?

**Possible Answers:**

**Correct answer:**

When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:

, where and are legs of the triangle and is the hypotenuse.

Plugging in our given values:

Subtracting from each side of the equation:

Taking the square root of each side of the equation:

Simplifying the square root:

### Example Question #12 : Properties Of Triangles

A right triangle has two legs of length and , respectively. What is the hypotenuse of the right triangle?

**Possible Answers:**

**Correct answer:**

When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:

, where and are legs of the triangle and is the hypotenuse.

Plugging in our given values:

### Example Question #13 : Properties Of Triangles

A right triangle has a leg of length and a hypotenuse of length . What is the length of the other leg?

**Possible Answers:**

**Correct answer:**

When calculating the lengths of sides of a right triangle, we can use the Pythagorean Theorem as follows:

, where and are legs of the triangle and is the hypotenuse.

Plugging in our given values:

Subtracting from each side of the equation:

### Example Question #14 : Properties Of Triangles

Find the length of the missing side.

**Possible Answers:**

**Correct answer:**

Use the Pythagorean Theorem to find the length of the missing side.

### Example Question #15 : Properties Of Triangles

Find the length of the missing side.

**Possible Answers:**

**Correct answer:**

Use the Pythagorean Theorem to find the length of the missing side.

### Example Question #16 : Properties Of Triangles

Find the length of the missing side.

**Possible Answers:**

**Correct answer:**

Use the Pythagorean Theorem to find the length of the missing side.

### Example Question #17 : Properties Of Triangles

Find the length of the missing side.

**Possible Answers:**

**Correct answer:**

Use the Pythagorean Theorem to find the length of the missing side.

### Example Question #18 : Properties Of Triangles

Find the length of the missing side.

**Possible Answers:**

**Correct answer:**

Use the Pythagorean Theorem to find the length of the missing side.

### Example Question #19 : Properties Of Triangles

Find the length of the missing side.

**Possible Answers:**

**Correct answer:**

Use the Pythagorean Theorem to find the length of the missing side.

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