An isosceles right triangle with legs of length s has area a. at the instant when s 32 2 centimeters, the area of the triangle is increasing at rate of 12 square centimeters per second. at what rate is the length of the hypotenuse of the triangle increasing in centimeters per second, at that instant?

2.114 cm.sec

Step-by-step explanation:

Given that an isosceles right triangle with legs of length s has area A.

At the instant when s 32 2 centimeters, the area of the triangle is increasing at rate of 12 square centimeters per second.

For a right triangle with legs = s each , area

=

Differentiate with respect to t

We get

When dA/dt = 12 and A =32.2 we get

Hypotenuse

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.