Math, asked by meenal2007, 6 months ago


Example 5. The side of an equilateral triangle is increasing at the rate of 2 cm/sec. At what rate its area
increasing when the side of the triangle is 20 cm?
ho ito arm at any time seconds
A


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Answers

Answered by saikethansaikethan
8

Refer the attachment friend....

Attachments:
Answered by 1600178
1

Step-by-step explanation:

Area of equilateral triangle=

4

3

a

2

where a=side of triangle

⟹A=

4

3

a

2

differentiating with respect to time

dt

dA

=

4

3

(2a)

dt

da

dt

da

=2cm/secanda=20cm

dt

dA

=

4

3

(2×30)(2)

=

4

3

×40×2

=2

3

×10

=20

3

cm

2

/sec

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