In a right triangle, if the length of a right side is 8cm and the perimeter is 20cm, how many square centimeters is the area of the triangle?

In a right triangle, if the length of a right side is 8cm and the perimeter is 20cm, how many square centimeters is the area of the triangle?

Let the other corner be a
Then perimeter = a + 8 + √ (A & # 178; + 8 & # 178;) = 20
√(a²+64)=12-a
Square on both sides
a²+64=144-24a+a²
24a=80
a=10/3
So the area is 8 * 10 / 3 △ 2 = 40 / 3