Q. 1 A4.9( 7 Votes )

# Prove that for equilateral triangles, area is proportional to the square of the length of a side. What is the constant of proportionality?

Answer :

We know that area of equilateral triangle is given by a

Where s is the length of side.

Put s^{2} = q

Then

Here, is constant

When ‘q’ increases ‘a’ increases

When ‘q’ decreases ‘a’ decreases

So, ‘a’ is proportional to q. That means, ‘a’ is proportional to the square of the side

The constant of proportionality is .

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