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 = c2 Pythagorean theorem
152 + 82 = c2 Plug in a = 15 and b = 8
225 + 64 = c2 Square
289 = c2 Add
289 = c2 Take the square root of both sides
17 = c Simplify
The distance between the tire swing and the monkey bars is 17 feet.