On the school playground, the slide is 8 feet due west of the tire swing and 15 feet due south of the monkey bars. what is the distance between the tire swing and the monkey bars?

Sorry, incorrect...

The correct answer is:

17

feet

Explanation

review

On the school playground, the slide is 8 feet due west of the tire swing and 15 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars?

feet

You answered:

23

feet

remember

In a right triangle, a2 + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse. This is called the Pythagorean theorem.

solve

Draw a diagram.

15 ft

8 ft

c

Use the Pythagorean theorem, with a = 15 and b = 8.

a2 + b2  =  c2Pythagorean theorem

152 + 82  =  c2Plug in a = 15 and b = 8

225 + 64  =  c2Square

289  =  c2Add

289  =  c2Take the square root of both sides

17  =  cSimplify

The distance between the tire swing and the monkey bars is 17 feet.

y=mx+b

step-by-step explanation:

m slope, b y-intercept