SOLUTION: the question is: given a right triangle with a perimeter of 60 and an altitude to the hypotnuse with a length of 12 what is the length of each side? i tried a lot using substitu

Question 374530: the question is: given a right triangle with a perimeter of 60 and an altitude to the hypotnuse with a length of 12 what is the length of each side?
i tried a lot using substitution its just too complicated i need an explanation too plz asap
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
A suggestion: Let x = the unknown leg, and y = the hypotenuse. Then
from the perimeter condition, x+y+12 = 60, or x+y = 48, or y = 48 - x.
From the right-triangle condition, use the Pythagorean identity : .
Substituting, we get . Now see if there will be any progress...
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