Question

(10) If each side of an equilateral triangle
increases at the rate of √2 cm/ sec, find the
rate of increase of its area when its side of
length 3 cm​

Answer 1

Answer:

Let x be the side of an equilateral triangle and A be the area.

∴A=

4

3

x

2

On differentiating both sides with respect to t, we get

dt

dA

=

4

3

2x

dt

dx

Given, x=10cm

and

dt

dx

=2cm/s

∴

dt

dA

=

4

3

2×(10)×2

=10

3

cm

2

/s

Step-by-step explanation:

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