Pythagorean Theorem Activity

What is the formula for the Pythagorean Theorem?

• a + b = c

• 2a + 2b = 2c

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

If the two legs of a right triangle are 3 and 4 units long, what is the length of the hypotenuse?

• 7

• 6

• 8

• 5

What is the Pythagorean triple for a right triangle with sides 5, 12, and 13?

• 3, 4, 5

• 7, 24, 25

• 8, 15, 17

• 5, 12, 13

How can the Pythagorean Theorem be used to find the distance between two points on a coordinate plane?

• distance = sqrt((x2 - x1) * (y2 - y1))

• distance = (x2 - x1) + (y2 - y1)

• distance = (x2 - x1) - (y2 - y1)

• distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

Find the value of x.

Mathematical Equivalence

ON

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100