The perimeter of a right triangle is 60 and the altitude
on the hypotenuse is 12. Find the sides of the triangle.
look to the picture
the perimeter 60
a+b+c = 60
and since we have a right triangle
a^2 = b^2 + c^2
we have another equation the area
1/2 * base *altitude find it consider a as base , and another time consider b base so
$\displaystyle \frac{1}{2} a (12) = \frac{1}{2} b c $
three equations solve them