The perimeter of an equilateral triangle is 36√3 cm. Find its height.
According to the question, 3 × side = 36√3 ⇒ side = 36√3/3 = 12√3 So, Height of the triangle = (√3/2) × 12√3 ⇒ 6√3 × √3 ⇒ 18 So, the height of the triangle = 18 cm ∴ Its height is 18 cm.
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