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

Tags

CCSS.8.G.B.8

What is the formula for finding the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Tags

CCSS.8.G.B.7

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Tags

CCSS.8.G.B.7

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Tags

CCSS.8.G.B.7

_{^{Find the missing side}}

• 37

• 17.66

• 6

• 312

Tags

CCSS.8.G.B.7

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

Tags

CCSS.8.G.B.8

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.

(a)  

Tags

CCSS.8.G.B.7

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.

(a)  

Tags

CCSS.8.G.B.7