The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base?

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Shiksha Nation · Accepted Answer

Let ΔABC be isosceles where BC is the base of fixed length b. Let the length of the two equal sides of ΔABC be a. Draw AD⊥BC.Now, in ΔADC, by applying the Pythagoras theorem, we have:

The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base?

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