# SOLUTION: The base of a triangle is decreased by 20%. How much must you increase the height to keep the area of the triangle the same? Express your answer as a percent.

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 Click here to see ALL problems on Triangles Question 672801: The base of a triangle is decreased by 20%. How much must you increase the height to keep the area of the triangle the same? Express your answer as a percent.Answer by stanbon(60774)   (Show Source): You can put this solution on YOUR website!The base of a triangle is decreased by 20%. How much must you increase the height to keep the area of the triangle the same? Express your answer as a percent. -------- Area = (1/2)(base)(height) ----- To keep the same Area, A = (1/2)(0.8 base)((1/0.8)height) ----- 1/0.8 = 10/8 = 5/4 = 1.25 = 125% ===================================== Increase the height by 25% ===================================== Cheers, Stan H.