Discovering Pythagorean Theorem

What is the Pythagorean theorem?

• c² = a² + b²

• c² = a² – b²

• c² = a + b

• c = a² + b²

In a right triangle, if side lengths are a = 5 and b =12 , what is the length of the hypotenuse?

• 13

• 17

• 25

• 26

What is the Pythagorean triple for a right triangle with sides of length 3, 4, and 5?

• (3,4,5)

• (5,12,13)

• (8,15,17)

• (9,16,25)

Which of the following triangles satisfies the Pythagorean theorem?

• (7,8,15)

• (5,9,12)

• (7,12,16)

• (6,8,10)

Find the value of x.

Mathematical Equivalence

ON

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

Mathematical Equivalence

ON

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

Solve for the length indicated.

• 9

• 10

• 11

• 12

Solve for the variable x.

• x = 3.2

• x = 80

• x = 3

• x = 6

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

• 64

• 12

• 9

• 100