Q16 of 99 Page 267

If the length of each side of an equilateral triangle is increased by 1 meter, then its area will be increased by √3 sq. meter. Let us write by calculating the length of side of equilateral triangle.

Let side of equilateral triangle be x m


Then area of equilateral triangle =


According to the given condition


If sides of equilateral triangle = x+1


Then area of this triangle =


⇒


⇒


⇒


⇒ 2x = 3


⇒ x =


Side of equilateral triangle =


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