Apply the Pythagorean Theorem

Find the diagonal d of a cube that is 14 in. on each edge. Round your answer to the nearest tenth.

• 20 in

• 22.1 in

• 27.3 in

• 24.2 in

What is the opposite of squaring a number?

• divide
• multiply 
• fractions
• square root

The Pythagorean Theorem is
a² + b³ = c⁴

• false
• true

What is the side of a right triangle across from the right angle called?

• square
• arm
• leg
• hypotenuse

Would a triangle with these side lengths be a right triangle?
4, 5, 6

• Yes
• No

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

• yes 
• no

A triangular piece of glass has sides that measure 33, 57, and 65 inches. Is the piece of glass in the shape of a right triangle? Choose the best answer.

• YES, the piece of glass IS in the shape of a right triangle. Because 33²+ 57² = 4,338, and the square root of 4,338 EQUALS 65.

• NO, the piece of glass IS NOT in the shape of a right triangle. Because 33²+ 57² = 4,338, and the square root of 4,338 DOES NOT EQUAL 65.

A carpenter added a diagonal brace to a gate. The gate is 6 ft. wide and 5 ft. tall. How long is the brace? Round your answer to the nearest tenth of a foot. Use equations to prove your answer is correct.

• 9

• 7.8

• 8.3

• 9.5

In triangle ABC, BD is perpendicular to AC? The dimensions are shown in centimeters. What is length of AC?

• 10

• 20

• 24

• 28

Which set of three numbers can be used to make a right triangle? Select all that apply.

• 3,4,5

• 30,40,50

• 5,6,7

• 9,12,15

• 20,25,30