Understanding the Pythagorean Theorem

What is the side opposite the right angle in a right triangle called?

• Hypotenuse

• Base

• Leg

• Altitude

In the Pythagorean Theorem, which equation is correct?

• a^2 = b^2 + c^2

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b = c^2

If a right triangle has legs of 18 and 24, what is the length of the hypotenuse?

• 36

• 42

• 30

• 28

When solving for a missing leg in a right triangle, what should you do if you know the hypotenuse and one leg?

• Add the squares of the known sides

• Subtract the square of the known leg from the square of the hypotenuse

• Divide the hypotenuse by the known leg

• Multiply the known sides

What is the height of a television screen if the diagonal is 32 inches and the width is 21 inches?

• 24.15 inches

• 22.5 inches

• 23 inches

• 25 inches

What does the converse of the Pythagorean Theorem state?

• If a^2 + b^2 = c^2, then the triangle is right

• If a^2 + b^2 ≠ c^2, then the triangle is right

• If a triangle is right, then a^2 + b^2 = c^2

• If a triangle is not right, then a^2 + b^2 = c^2

Which of the following sets of numbers is a Pythagorean triple?

• 7, 24, 25

• All of the above

• 6, 8, 10

• 5, 12, 13

Can the side lengths 7, 12, and 15 form a right triangle?

• Yes

• Only if 7 is the hypotenuse

• No

• Only if 15 is the hypotenuse

For the side lengths 33, 55, and 44, which is the hypotenuse?

• 44

• 33

• None

• 55

If a triangle has sides 33, 44, and 55, does it form a right triangle?

• Only if 33 is the hypotenuse

• Only if 44 is the hypotenuse

• No

• Yes