Understanding Right Triangles

What does the Pythagorean Theorem state?

• a² + b² = c²

• a + b = c

• a² - b² = c²

• ab = c²

Review the Pythagorean theorem and how to apply it on the SAT®. What makes a triangle a "right triangle"?

• All sides equal

• One 90° angle

• One angle greater than 90°

• All angles less than 90°

Which set of numbers is a Pythagorean triple?

• 4, 5, 6

• 7, 8, 9

• 5, 12, 13

• 10, 11, 14

In a 30°-60°-90° triangle, how long is the hypotenuse if the short leg is 4?

• 4√3

• 8

• 4

• 2√3

The legs of a 45°-45°-90° triangle are always:

• Different lengths

• Twice the hypotenuse

• Half the hypotenuse

• Equal lengths

A right triangle has legs of lengths 9 and 12. What is the hypotenuse?

• 15

• 20

• 13

• 18

If a 3-4-5 triangle is scaled by 4, what's the hypotenuse?

• 15

• 20

• 25

• 30

What is the long leg in a 30°-60°-90° triangle if the hypotenuse is 14?

• 7√3

• 7

• 14/3

• 28

One leg of a 45°-45°-90° triangle is 5. What's the hypotenuse?

• 2√5

• 10√2

• 4√5

• 5√2

A triangle has sides 16, 30, and 34. Is it a right triangle?

• Yes, it's a 3-4-5 triple.

• No, it doesn't satisfy a² + b² = c².

• Yes, it satisfies a² + b² = c².

• No, all sides must be equal.