SOLUTION: The slides makes a right triangle with the ground and the stairs. The "rise" is 1 meter shorter than the " run " and the slide is 1 meter longer than the " run". Find three sides o

Algebra ->  Pythagorean-theorem -> SOLUTION: The slides makes a right triangle with the ground and the stairs. The "rise" is 1 meter shorter than the " run " and the slide is 1 meter longer than the " run". Find three sides o      Log On


   

Question 1121044: The slides makes a right triangle with the ground and the stairs. The "rise" is 1 meter shorter than the " run " and the slide is 1 meter longer than the " run". Find three sides of this slide.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The words describe a right triangle with sides that are consecutive integers.

Without any calculations, you should recognize this as a 3-4-5 right triangle.

The sides are 3m, 4m, and 5m.

With algebra....

let r = length of the run
then r-1 = length of rise
and r+1 = length of slide

Then

r%5E2%2B%28r-1%29%5E2+=+%28r%2B1%29%5E2

Solve the equation....