# IM IN DIRE NEED OF HELP WITH MATH IN IN 8TH GRADE?

Hi I'm in geometry here's my question

the safety rules for a playground state that the height of a slide and the distance from the base of the ladder to the front of the slide must be in a ratio of 3:5 if a slide is about 8 ft long what are the height and distance from the base of the ladder to the front of the slide?

so i know the equasion based on the pythagorean theorem is 8squared=5xsquared+3xsqaured but how to solve??????!!!!!!

### 2 Answers

- MichaelLv 71 month ago
This is a right triangle problem

the hypotenuse for a right triangle with sides for 3 and 5 is

c² = 3² + 5²

c² = 36

c = 6

The ratio is then

3:5:6

Corresponding sides of similar triangle have the same prorportion

since 8 = 4/3 * 6

The height is

h = 3 * (4/3)

h = 4 ft <––––

Distance from base to front of ladder

d = 5 * (4/3)

d = 20/3

d = 6 ⅔ ft <–––––

- Anonymous1 month ago
Don't get your Dad fired then.

wut

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omg tysm