Q10 of 97 Page 772

The height of an equilateral triangle is 6 cm. Find its area. [Take √3 = 1.73.].

Given: Height of an equilateral triangle = 6 cm



Let sides of equilateral triangle be a cm


We know that,


Height of equilateral triangle =



⇒ 6 × 2 = √3 × a


⇒ 12 = a√3





⇒ a = 4 × 1.73


= 6.92 cm2


Now,


Area of equilateral triangle =




= 11.98√3 cm2


= 20.76 cm2


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