# SOLUTION: in a triangle a base and the cooesponding height are in the ratio 3:2. The area is 108 in. squared. find the base and the corresponding height.

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 Question 133639: in a triangle a base and the cooesponding height are in the ratio 3:2. The area is 108 in. squared. find the base and the corresponding height.Answer by nycsharkman(136)   (Show Source): You can put this solution on YOUR website!The area of triangle is found by using the formula: A = 1/2 times base times height The ratio 3:2 becomes 3x:2x We need to find x BEFORE we can find the length of the base and height in terms of inches. The area is 108. We now plug and chug. 108 = 1/2 (3x)(2x) 108 = 1/2(6x^2) 108 = 3x^2 Divide both sides by 3. 108/3 = x^2 36 = x^2 Take square root of both sides. + -6 = x Of course, when dealing with base and height, we are talking about distance. Distance CANNOT be negative. So, we REJECT the answer x = -6. We use x = 6. Base is 3x. Base = 3(6) Base = 18 inches ================ Height is 2x. Height = 2(6) Height = 12 inches. Did you follow?