SOLUTION: a right Triangle has perimeter of 36cm. one leg is 9cm determine the length of other leg and hypotenuse

Question 1162438: a right Triangle has perimeter of 36cm. one leg is 9cm determine the length of other leg and hypotenuse

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a right Triangle has perimeter of 36cm.
a + b + c = 36
one leg is 9cm determine the length of other leg and hypotenuse.
9 + b + c = 36
b + c = 36 - 9
b + c = 27
b = (27-c)
:
a^2 + b^2 = c^2
replace b with (27-c)
9^2 + (27-c)^2 = c^2
81 + 729 - 54c + c^2 = c^2
810 - 54c = c^2 - c^2
810 = 54c
c = 810/54
c = 15
then
b = 27 - 15
b = 12
Hypotenuse = 15, one side = 12
:
:
Check
9^2 + 12^2 = 15^2
81 + 144 = 225

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