SOLUTION: the base of a triangle is three times the height. if the area of the triangle is 54 cm^2, find the base and the height of the triangle.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: the base of a triangle is three times the height. if the area of the triangle is 54 cm^2, find the base and the height of the triangle.      Log On


   



Question 1115834: the base of a triangle is three times the height. if the area of the triangle is 54 cm^2, find the base and the height of the triangle.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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You are given  B = 3*H.     ("the base of a triangle is three times the height")


You also know that the area of a triangle is  %281%2F2%29%2AB%2AH.


It gives you an equation


%281%2F2%29%2A%283H%29%2AH = 54  ====>


3H%5E2 = 54*2  ====>


H%5E2 = %2854%2A2%29%2F3 = 36  ====>  H = sqrt%2836%29 = 6.


From this point, can you complete the solution on your own ?