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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Answered by
8
Refer the attachment friend....
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Answered by
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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