Pythagorean Theorem and Converse

A 35-foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14 feet from the base of the flagpole, how tall is the flagpole? Round to the nearest tenths place.

Directions: Find the value of x. Round to the nearest tenth.

Directions: Find the value of x. Round to the nearest tenth.

Scott is using a 12-foot ramp to help load furniture into the back of a moving truck. If the back of the truck is 3.5 feet from the ground, what is the horizontal distance from where the ramp reaches the ground to the truck? Round to the tenths place.

If the diagonal of a square is 11.3 meters, approximately (nearest meter) what is the perimeter of the square?

Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle. Side lengths: 10, 24, 26

• Not a triangle

• Acute

• Right

• Obtuse

What is the formula for finding the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

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 missing side}}

• 48

• 108

• 83.6

• 72

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.