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Median of an equilateral triangle is 15√3 cm. What is the side of this triangle?

A24 cm

B18 cm

C30 cm

D36 cm

Answer:

C. 30 cm

Read Explanation:

Solution: Given: Median of an equilateral triangle is 15√3 cm. Concept Used: Length of median of the equilateral triangle = (√3/2) × side Calculation: Let the side of the equilateral triangle be a cm. Length of median of the triangle = (√3/2) × a ⇒ (√3/2) × a = 15√3 ⇒ a = 30 cm Side = 30 cm ∴ Option 3 is the correct answer.


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