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

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Question 551229: A triangle has base 12 centimetres and 8 centimetres . How 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 centimetres and 8 centimetres . How much do you have to increase each dimension equally so that the area is tripled?
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Area = b*h/2 = 12*8/2 = 48 sq cm
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3*Area = (b*x)*(h*x)/2 = 48*3 = 144 sq cm
If you mean to add the same amount to make it 144 sq cm, then:
(8+x)*(12+x) = 288

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:

Add ~ 7.088 cm to each side
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