SOLUTION: A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.

Algebra ->  Triangles -> SOLUTION: A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.       Log On


   

Question 869323: A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
One side is s, known but value not given.
Another side is c, unknown.
and hypotenuse, call variable h, known. h=12.

You want to find c, and use it to create the formula for area.
s%5E2%2Bc%5E2=h%5E2
c%5E2=h%5E2-s%5E2
c=sqrt%28h%5E2-s%5E2%29
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Expression for the area, %281%2F2%29s%2Ac=highlight%28%281%2F2%29s%2Asqrt%28h%5E2-s%5E2%29%29.