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The sides of an equilateral triangle are...

The sides of an equilateral triangle are increasing at the rate of 2cm/sec. The rate at which the area increases, when side is 10 cm is ………..

A

`10 cm^(2)//s`

B

`sqrt(3)cm^(2)//s`

C

`10sqrt(3)cm^(2)//s`

D

`(10)/(3)cm^(2)//s`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The side of an equilateral triangle expands at the rate of sqrt(3) cm/sec. When the side is 12 cm, the rate of increase of its area is ……….

    A
    `12cm^(2)//sec`
    B
    `18 cm^(2)//sec`
    C
    `3sqrt(3)cm^(2)//sec`
    D
    `10cm^(2)//sec`

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    A
    `(1)/(36)` cm/sec
    B
    36 cm/sec
    C
    9 cm/sec
    D
    27 cm/sec

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