Finding the sides of a triangle given altitude and hypotenuse

• April 26th 2010, 08:22 AM
Statsnoob2718
Finding the sides of a triangle given altitude and hypotenuse
The perimeter of a right triangle is 60 and the altitude
on the hypotenuse is 12. Find the sides of the triangle.
• April 26th 2010, 10:39 PM
Amer
Quote:

Originally Posted by Statsnoob2718
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

$\frac{1}{2} a (12) = \frac{1}{2} b c$

three equations solve them