Question 166492
the area of a triangle is 13.5 meters. Find the base and height of the retangle
if its height is 6 meters greater than it's base. Use an equation and the formula area of a triangle =0.5(base)(height).
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Let b = length of the base
then because "its height is 6 meters greater than it's base"
b+6 = height
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Plug the above into:
area of a triangle =0.5(base)(height)
13.6 =0.5(b)(b+6)
27.2 =(b)(b+6)
27.2 = b^2 + 6b
0 = b^2 + 6b - 27.2
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Using the quadratic equation to solve we get:
b = {3.01664358259653, -9.01664358259653}
Throw out the neg solution.
b = 3 meters (base)
b+6 = 9 meters (height)
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Quadratic solved here:
*[invoke quadratic "b", 1, 6, -27.2 ]