SOLUTION: A tree 36' tall breaks forming a triangle. From the base of the tree along the ground to the tip is 24'(lets call this (b)leg). I know the (a)leg + the hypotenuse is 36' but how

Algebra ->  Pythagorean-theorem -> SOLUTION: A tree 36' tall breaks forming a triangle. From the base of the tree along the ground to the tip is 24'(lets call this (b)leg). I know the (a)leg + the hypotenuse is 36' but how       Log On


   



Question 178943: A tree 36' tall breaks forming a triangle. From the base of the tree along the ground to the tip is 24'(lets call this (b)leg). I know the (a)leg + the hypotenuse is 36' but how can i find the new value for the (a)leg using the pythagorean theorem. I solved it by just plugging in numbers but that took forever. Sure could use your help, confused.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
ok you have the right idea.......the total of leg a and hypothenuse is 36. lets call the leg b as you say. If the leg is b then the hypothenuse lets call that c has to be equal to 36-b, right!! So
:
24%5E2%2Bb%5E2=%2836-b%29%5E2
:
576%2Bb%5E2=1296-36b-36b%2Bb%5E2
:
-72b=-720
:
highlight%28b=10%29feet
:
highlight%28c=36-10=26%29feet