# SOLUTION: The base of a triangle is twelve more than twice its height. If the area of a triangle is 46 square centimeters, find its base and height.

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 Question 629682: The base of a triangle is twelve more than twice its height. If the area of a triangle is 46 square centimeters, find its base and height.Answer by lwsshak3(6527)   (Show Source): You can put this solution on YOUR website!The base of a triangle is twelve more than twice its height. If the area of a triangle is 46 square centimeters, find its base and height. let x=height of triangle 2x+12=base of triangle Area of triangle=1/2*base*height .. 46=1/2*(2x+12)*x 92=2x^2+12x 2x^2+12x-92=0 x^2+6x-46=0 Solve by following quadratic formula: a=1, b=6, c=-46 ans: x≈4.42 2x+12≈20.83 height of triangle≈4.42 cm base of triangle≈20.83 cm