The perimeter of an isosceles triangle is 60 cm. At what value of the height drawn to the base, the area of the triangle is greatest?
| December 8, 2020 | education
We use the formulas for the perimeter and area of a triangle: P = 2x + y = 60 y = 60 – 2x h = √ (x ^ 2 – (30 – x) ^ 2) S = 1/2 * (60 – x) * √ (x ^ 2 – (30 – x) ^ 2) = (30 – x) * √ (x ^ 2 – (30 – x) ^ 2) For 0
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