SOLUTION: the base of a triangle is 3 meters less then twice the height find the base and the height if the area of a triangle is 22 square meters
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Question 614350: the base of a triangle is 3 meters less then twice the height find the base and the height if the area of a triangle is 22 square meters Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! the base of a triangle is 3 meters less then twice the height find the base and the height if the area of a triangle is 22 square meters
.
Let x = height
then
2x-3 = base
.
(1/2)(2x-3)x = 22
(2x-3)x = 44
2x^2-3x = 44
2x^2-3x-44=0
rewrite the middle term as:
2x^2 +8x-11x -44=0
group terms:
(2x^2+8x)-(11x+44)=0
2x(x+4)-11(x+4)=0
(x+4)(2x-11)=0
x = {-4, 11/2}
throw out the negative solution leaving:
x = 5.5 meters (base)
.
height:
2x-3 = 2(5.5)-3 = 11-3 = 8 meters
