The area of a circle inscribed in an equilateral triangle is 154 cm². Find the perimeter of the triangle. [Use π = 22/7 and $\sqrt{3}$ = 1.73]

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Solution

It is given that the area A of circle inscribed in an equilateral triangle is 154 cm².

We know that the area A of circle inscribed in an equilateral triangle is

Now, we will find the value of r.

Substituting the value of area,

Let the height of triangle be h. Then

If a is the side of triangle, then

Substituting the value of h,

Hence perimeter of triangle is .

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The area of a circle inscribed in an equilateral triangle is 154 cm2. Find the perimeter of the triangle. [Use π = 22/7 and 3 = 1.73]

The area of a circle inscribed in an equilateral triangle is 154 cm². Find the perimeter of the triangle. [Use π = 22/7 and $\sqrt{3}$ = 1.73]