Question 1046648: An isosceles triangle has area 1. You want to find the smallest possible perimeter. First write a formula for the perimeter in terms of x and b. Then find the perimeter just as a function of b. Use your calculator to find the minimum perimeter. (The sides of the triangle are x, and the base is b. The line in the center of the triangle that forms a right angle with the base is h.)
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! An isosceles triangle has area 1. You want to find the smallest possible perimeter. First write a formula for the perimeter in terms of x and b. Then find the perimeter just as a function of b. Use your calculator to find the minimum perimeter. (The sides of the triangle are x, and the base is b. The line in the center of the triangle that forms a right angle with the base is h.)
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Minimum perimeter for a triangle of a given area is that of an equilateral triangle.
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PS Isosceles is a subset of equilateral, that is, 2 sides are equal is all 3 sides are equal.
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