Pythagorean Theorem and its converse.

Find the value of x.

• 36
• 12
• 16
• 25

Given the three numbers below, do they form a right triangle?

4, 5, 6

• Yes

• No

Find the missing side of this right triangle.

• 48

• 72

• 105

• 87.2

The Pythagorean Theorem only works for what kind of triangle?

• acute

• obtuse

• right

• rectangular

Given the three numbers below, do they form a right triangle?

2.1, 7.2, 7.5

• Yes

• No

If Pythagorean Theorem states;

If a triangle is a right triangle, then

a² + b² = c²

What is its converse?

• If a² + b² = c², then it's a right triangle.

• If a² + c² = b² , then it's a square.

• if a² + b² > c², then it's a right triangle.

• If a² + b² = c² , then it is not a right triangle.

Find the value of the missing side.

• 57

• 10

• 12.3

• 20

A pole is 12 feet high. The pole is connected to a wire from the top of the pole to an anchor in the ground. The anchor is 18 feet away from the pole. How long is the wire?

• 36 ft

• 16 ft

• 21.6 ft

• 24.3 ft

Find the missing side of the triangle. 

• 40

• 4.7

• 12

• 6.3

Find the missing leg of a right triangle that has one side of 4 ft., and a hypotenuse of 9 ft.

• 9.8 ft

• 15 ft

• 8.1 ft

• 13 ft