the perimeter of a right triangle is 24cm. one leg is 2cm longer than the other leg and 2cm shorter than the hypotenuse. find the area of the right triangle
1
Expert's answer
2011-12-15T09:39:10-0500
Let's construct the system of equations (a and b are legs and c is the hypotenuse):
a+b+c = 24 a+2 = b a-2 = c
Solving it:
a+(a+2)+(a-2) = 24 3a = 24 a = 8 b = 10
Here we got both legs of the triangle. So, the area of the triangle is
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