# SOLUTION: The height of a triangle is 2 millimeter less than the base. If the area is 60 square millimeters, find the base

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 Question 156797: The height of a triangle is 2 millimeter less than the base. If the area is 60 square millimeters, find the baseFound 2 solutions by nerdybill, jojo14344:Answer by nerdybill(7008)   (Show Source): You can put this solution on YOUR website! The height of a triangle is 2 millimeter less than the base. If the area is 60 square millimeters, find the base . Remember that the area of any triangle is: area = (1/2)hb where h is height b is base . If we Let b = base then Your problem gives: height = b-2 area = 60 sq mm . Plugging it all into: area = (1/2)hb 60 = (1/2)(b-2)b 120 = (b-2)b 120 = b^2 - 2b 0 = b^2 - 2b - 120 . factoring: 0 = (b-12)(b+10) b = {12, -10} we can throw out the negative solution since it doesn't make sense for a "measurement". . Therefore, base is 12 millimeters Answer by jojo14344(1512)   (Show Source): You can put this solution on YOUR website!We know Sustituting when , height is 2mm less than the base ------------------------> working eqn , cross multiply ---> Solve by QUADRATIC, , , & 2 values: = BASE =, DON'T USE In doubt? Go back working eqn: Thank you, Jojo