On the playground, the slide is west of the tire swing, and south of the monkey bars. If the distance between the slide and the tire swing is 12 meters and the distance between the tire swing and the monkey bars is 13 meters, how far is the slide from the monkey bars?

5 meters

Step-by-step explanation:

This is a Pythagoras Theorem question.

The formula for Pythagoras Theorem is

a² + b² = c²

Where c² = longest side = hypotenuse

If the distance between the slide and the tire swing is 12 meters = b

The distance between the tire swing and the monkey bars is 13 meters= 13 meters = 2

The distance of the slide from the monkey bars = a

= a² + b² = c²

a² + 12² = 13²

a² = 13² - 12²

a = √169 - 144

a = √25

a = 5 meters

Therefore, distance of the slide from the monkey bars is 5 meters.

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation: