# SOLUTION: the height of a triangle is 2 more than twice the base. the area is 20 square feet. find the base.

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 116398: the height of a triangle is 2 more than twice the base. the area is 20 square feet. find the base.Answer by stanbon(57277)   (Show Source): You can put this solution on YOUR website!the height of a triangle is 2 more than twice the base. the area is 20 square feet. find the base. -------------- Area = (1/2)(base)(height) ------------------------- 20 = 1/2 (x)(2x+2) 40 = 2x^2+2x 20 = x^2+x x^2+x-20 = 0 (x-5)(x+4) = 0 x = 5 or x=-4 ---------------------- Only x=5 ft. is a possible answer for the base: Then height = 2*5+2 = 12 ft. ======================== Cheers, Stan H.