Multiple choice

The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its median is- किसी समबाहु त्रिभुज की आंतरिक त्रिज्या 3 सेमी है तो इसकी प्रत्येक मध्यिका ज्ञात करें ?

  1. 12

  2. 9/2

  3. 4

  4. 9
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For an equilateral triangle, inradius r = a/(2√3), where a is side length. Given r = 3 cm, we get a = 6√3 cm. In an equilateral triangle, median = altitude = a√3/2. Substituting a = 6√3, we get median = (6√3 × √3)/2 = (6 × 3)/2 = 9 cm. Option D is correct.

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