In an equilateral triangle, circumradius is 14 cm. What is the length of median in this triangle?

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 14 March, 2023 Shift 2)
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  1. 14√3 cm
  2. 21 cm
  3. 18√3 cm
  4. 7√3 cm

Answer (Detailed Solution Below)

Option 2 : 21 cm
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Detailed Solution

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Given:

Circum-radius = 14 cm

Formula used:

Circum-radius, r = a/√3

Length of median = Height of equailateral triangle = √3a/2

where, a = side of equailateral triangle

Calculation:

⇒ r = a/√3

⇒ a = 14√3

Now, Length of median = √3a/2

⇒ (√3 × 14√3)/2 = 21 cm

Option 2 is the correct answer.

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