SOLUTION: Determine the maximum area of a triangle, in square centimeters, if the sum of its base and its height is 10cm. Be sure to include"let statements" let the base = x so height = 10

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Determine the maximum area of a triangle, in square centimeters, if the sum of its base and its height is 10cm. Be sure to include"let statements" let the base = x so height = 10      Log On


   

Question 196950: Determine the maximum area of a triangle, in square centimeters, if the sum of its base and its height is 10cm. Be sure to include"let statements"
let the base = x
so height = 10-x
A%28x%29=1%2F2%2Abase%2Aheight
A%28x%29=1%2F2%2Ax%2810-x%29=5x-0.5x%5E2
x coordinate of Vertex of the parabola = -b%2F2a+=-5%2F%282%2A-0.5%29=5
y coordinate of Vertex of the parabola = f%28-b%2F2a%29=5%285%29-0.5%285%5E2%29=12.5
So max. area is 12.5m%5E2
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