SOLUTION: PlEASE HELP ME SOLVE THIS.. A right triangle ABC has height 4cm hypotenuse h cm and perimeter p cm. Express h as a function of p. How do you find the answer? How do you k

Algebra ->  Pythagorean-theorem -> SOLUTION: PlEASE HELP ME SOLVE THIS.. A right triangle ABC has height 4cm hypotenuse h cm and perimeter p cm. Express h as a function of p. How do you find the answer? How do you k      Log On


   



Question 832143: PlEASE HELP ME SOLVE THIS..
A right triangle ABC has height 4cm hypotenuse h cm and perimeter p cm. Express h as a function of p.
How do you find the answer?
How do you know which theorem to use? Please help.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Show a clear listing of what you know.
-
side 1, 4 cm, the height
side 2, x cm, unknown
side 3, h cm, the hypotenuse, unknown
p = perimeter, taken as known, maybe.
p=4%2Bx%2Bh ---- understand perimeter
x%5E2%2B4%5E2=h%5E2 ----Pythagorean Theorem

You wanted h as a function of p. Maybe two ways to do it. Try to find a way to equate expressions for either x, or x%5E2. Then solve for h from that.

Note, I did not solve this; I only suggested a way to try.