Finding the Hypotenuse of a Right Triangle and the Converse

If a triangle has sides of lengths 8, 15, and 17, is it a right triangle?

• Cannot determine

• No

• Sometimes

• Yes

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 length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

_{^{Find the missing side}}

• 37

• 17.66

• 6

• 312

In order to use the Pythagorean Theorem to finding a missing side length:

• the triangle must be a right triangle

• it can be any type of triangle

• the triangle must be an acute triangle

• the triangle must be an obtuse triangle

The lengths of the legs of a right triangle are 42 feet and 40 feet. What is the length of the hypotenuse? If necessary round to the nearest inch.

The lengths of the legs of a right triangle are 80 inches and 18 inches. What is the length of the hypotenuse? Round to the nearest inch if necessary.