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(11628) (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
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