Multiple choice

In a triangle ABC, AB = 6 cm, BC = 8 cm, and AC = 10 cm. The length of the median bisecting the shortest side is (approx.) एक त्रिभुज ABC में, AB = 6 सेमी, BC = 8 सेमी, और AC = 10 सेमी । सबसे छोटी भुजा को समद्विभाजित करने वाली माध्यिका की लंबाई है (लगभग)

  1. 10 cm./सेमी.

  2. 8.5 cm./सेमी.

  3. 9 cm./सेमी.

  4. 9.5 cm./सेमी.
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B Correct answer
Explanation

Shortest side is 6 cm. Using Apollonius theorem for median: m² = (2b² + 2c² - a²)/4 where a is the side with median. Here m² = (2×64 + 2×100 - 36)/4 = 292/4 = 73. So m = √73 ≈ 8.54 cm ≈ 8.5 cm.

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