AP EAMCET · Maths · Straight Lines
In a triangle ABC , if \(\mathrm{BC}=5, \mathrm{CA}=6, \mathrm{AB}=7\), then the length of the median drawn from B onto AC is
- A 5
- B \(7 \sqrt{5}\)
- C \(7 \sqrt{2}\)
- D \(2 \sqrt{7}\)
Answer & Solution
Correct Answer
(D) \(2 \sqrt{7}\)
Step-by-step Solution
Detailed explanation
\(b=6, c=7, a=5\) Median from B onto \(\mathrm{AC}=\sqrt{\frac{2 a^2+2 c^2-b^2}{4}}\) \(=\sqrt{\frac{2 \times 25+2 \times 49-36}{4}}=2 \sqrt{7}\)
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