# SOLUTION: the height of a triangle is 10 centimeters more than its base. if the area of the triangle is 100 cm, find its base and height

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 Question 608827: the height of a triangle is 10 centimeters more than its base. if the area of the triangle is 100 cm, find its base and height Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!let base = x cm height = (x+10) cm Area of triangle = 1/2 * base * height 100= 1/2 * x*(x+10) multiply by 2 (x+20)(x-10)=0 x= -20 or 10 Ignore negative base = 10 cm height = 20 cm