Question

On the school playground, the slide is due west of the tire swing and due south of the monkey bars. If the distance between the slide and the tire swing is 5 meters and the distance between the tire swing and the monkey bars is 13 meters, how far is the slide from the monkey bars?

Answer 1

Answer:

The 3 playground pieces of equipment, T(ire swing), S(lide) and M(onkey bars) form a right triangle.

Use the Pythagorean Theorem to fing the hypotenuse, which is the distance between T and M.

Answer 2

Answer:

distance between  slide and monkey bars is 12 m

Step-by-step explanation:

given, there are 3 equipments in the playground

the slide is due west of the tire swing at a distance of 5 m

and slide is to the south of monkey bars

distance between the tire swing and the monkey bars is 13 m

to find: distance between slide and monkey bars

the three equipments forms a right triangle: apply pythagoras theorem

let the distance between slide and monkey bars be x

13²  =  5² + x²

x² = 13² - 5²

x² = 169 - 25 = 144

x = √ 144 = 12 m

therefore, distance between  slide and monkey bars is 12 m

refer to the attached image