Pythagorean Theorem Review

Which letter of the Pythagorean theorem represents the hypotenuse?

• a

• b

• c

• d

What type of triangles is the Pythagorean theorem used to prove?

• Isosceles

• Right

• Equilateral

• All of the above

What would the longest side of a right triangle be if the two shorter sides were 4 cm and 6 cm?

• 5 cm
• 2√8 cm

• 2√13 cm

• 10 cm

If the two longest sides of a right triangle are 10 and 5, what is the value of the missing side?

• 5√3
• 12
• 7
• 8√2

If a triangle had 3 side measures of 6, 8, and 10, would the triangle be a right triangle?

• Yes

• No

If a triangle has 3 side lengths of 14, 16, and 25, would the triangle be a right triangle?

• No

• Yes

An accessibility ramp needs to be built for a building entrance that is 4 feet above the ground. The ramp will extend 10 feet horizontally from the base of the entrance. What will be the length of the ramp? (Find the hypotenuse).

• 9√2

• 2√29

• 2√30

• 3√12

You are shopping for a new TV, and the specifications say that the screen measures 50 inches diagonally. If the width of the TV is 40 inches, how tall is the TV?

• 45 inches
• 35 inches
• 30 inches
• 25 inches

A 12-foot ladder leans against a wall. If the bottom of the ladder is placed 5 feet away from the base of the wall, how high up the wall will the ladder reach?

• √210 feet

• 12 feet
• 6 feet
• √119 feet

A person walks 6 blocks east and then 8 blocks north. How far is the person from their starting point, assuming they walked in a straight line.

• 10 blocks
• 6 blocks
• 14 blocks
• 8 blocks