Question 374732: the base of a triangle 7cm greater than the height. the are is 60cm^2. find the height and the length of the base. Answer by vasumathi(46) (Show Source):
You can put this solution on YOUR website! the base of a triangle 7cm greater than the height. the are is 60cm^2. find the height and the length of the base
Solution: Let the height = h
then the base = h+7
area = a = 1/2 b*h=1/2 *(h+7)*h
60 = 1/2 (h+7) * h
120 = (h+7)* h
120=h^2+7h
h^2+7h-120=0
(h-8)(h+15) = 0-> h = 8 and -15
but since the height cant be negative we have h = 8
Then the base = h+7 = 8+7 = 15
so the base = 15
and the height = 8
This is the final answer
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