### All GMAT Math Resources

## Example Questions

### Example Question #1 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

What is the length of a right triangle hypotenuse if the the other two sides are and units long?

**Possible Answers:**

**Correct answer:**

To find a length of a side in a right triangle, we can use the Pythagorean theorem:

### Example Question #2 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

What is the hypotenuse of a right triangle with sides 14 and 48?

**Possible Answers:**

**Correct answer:**

For starters, we know that the hypotenuse is the longest side of a triangle, so we can immediately cross off 25 as an answer choice because it is smaller than one of the legs, 48. To find the hypotenuse, we can use the Pythagorean Theorem.

### Example Question #3 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

A right triangle has a height of 8 and a base of 15. What is the length of its hypotenuse?

**Possible Answers:**

**Correct answer:**

We are given the length of the height and the base, so we can use the Pythagorean theorem to calculate the length of the hypotenuse:

### Example Question #4 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

What is the hypotenuse of a right triangle with legs of length and ?

**Possible Answers:**

**Correct answer:**

In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:

### Example Question #5 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

What is the hypotenuse of a right triangle with an area of and a leg length of ?

**Possible Answers:**

**Correct answer:**

In order to find the value of the hypotenuse given area and leg length , we first need to calculate the length of the other leg length . Given the area equation :

Plugging in and :

Now we need to plug the values of the legs and into the Pythagorean Theorem:

### Example Question #6 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

What is the hypotenuse of a right triangle with legs of lengths and ?

**Possible Answers:**

**Correct answer:**

In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:

### Example Question #7 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Each leg of a triangle has length . Give the length of its hypotenuse.

**Possible Answers:**

**Correct answer:**

The hypotenuse of a triangle has length times that of a leg, which here is

.

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