SOLUTION: A triangle has base 12 centimeters and 8 centimeters . How much much do you have to increase each dimension equally so that the area is tripled?

Question 550046: A triangle has base 12 centimeters and 8 centimeters . How much much do you have to increase each dimension equally so that the area is tripled?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A triangle has base 12 centimeters and 8 centimeters . How much much do you have to increase each dimension equally so that the area is tripled?
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Area = b*h/2 = 48 sq cm
48*3 = 144
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(12 + x)*(8 + x)/2 = 144

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1168 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.08800749063506, -27.0880074906351. Here's your graph:

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Add ~ 7.088 to b and to h

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