One side of a triangle is increasing at a rate of 5 cm/sec and a second side is increasing at a rate of 7 cm/sec. if the area of the triangle remains constant, at what rate does the angle between the sides change when the first side is 20 cm long, the second side is 50 cm long, and the angle is π 3 ?

The rate of angle is 26.25 rad/sec.

Explanation:

Given that,

First side of triangle a= 20 cm

Second side of triangle b= 50 cm

One side of a triangle is increasing at a rate = 5 cm/sec

Second side is increasing at a rate = 7 cm/s

Angle

If the area of the triangle remains constant,

We need to calculate rate of angle

Using formula of area of triangle

On differentiating

Put the value into the formula

Hence, The rate of angle is 26.25 rad/sec.

it would be kevlar ^^

what is the speed of a softball that travels 20m in 2secs

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