Home
Class 12
MATHS
The side of an equilateral triangle is i...

The side of an equilateral triangle is increasing at the rate of `sqrt3 cm//s`. How fast is the area increasing, when its side is 6 cm ?

A

6 sq `cm//s`

B

12 sq `cm//s`

C

9 sq `cm//s`

D

`2sqrt3 sq cm//s`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. How far is the area increasing when the side is 10 cms?

The side of an equilateral triangle is increasing at the rate of 2 cm/s. At what rate is its area increasing when the side of the triangle is 20 cm?

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

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

Each side of an equilateral triangle is 8 cm. Its area is

The sides of an equilateral triangle increases at the rate of sqrt3 cm//sec . What will be the rate of increase in area of the triangle when the length of a side is 5 cm ?

Each side of an equilateral triangle is increasing at the rate of 8cm/hr. The rate of increase of its area when side is 2 cm is

If the side of an equilateral triangle increases uniformly at the rate of 3(ft)/s .If lambda (ft)^(2)/s be the area increasing, when the side is 10ft ,then the value of 5sqrt(3)lambda must be

The side of a square sheet is increasing at the rate of 4cm per minute.At what rate is the area increasing when the side is 8cm long?

Each side of an equilateral triangle is 8 cm long. Its area is