1.

1). 4√52). 5√53). √304). 6√5

Answer»

Let ‘a’ be the side of an equilateral triangle.

HEIGHT of the triangle = $(\frac{{\SQRT 3 a}}{2})$

⇒ Area of triangle = $(\frac{1}{2} \TIMES \frac{{\sqrt 3 a}}{2} \times a = \frac{{\sqrt 3 {a^2}}}{4})$

⇒ √(3 / 4)a2 = 60√3

⇒ a2 / 4 = 60

⇒ a2 = 240

⇒ a = √240 = 4√15

∴ Height of equilateral triangle = √(3/2) × 4√15 = 6√5 m



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