Question

Asked Nov 25, 2019

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The legs of an isosceles right triangle increase in length at a rate of 6 m divided by s.

a. At what rate is the area of the triangle changing when the legs are 4 m long?

b. At what rate is the area of the triangle changing when the hypotenuse is 6 m long?

c. At what rate is the length of the hypotenuse changing?

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Step 1

Let x be the length of leg and h be the length of hypotenuse of an isosceles right triangle. Then we have

Step 2

Now, We know that Area of right angled triangle is 1/2 of product of length of legs , so we have

Step 3

If length of hypotenuse is 6m, then we c...

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