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In the figure given below, AB= 3√13 cm. AM= 0.75 √39 cm, is perpendicular to BC. Find the length of the median of the triangle drawn from A onto BC, if angle BAC is 90°
  • a)
    6 cm
  • b)
    6√2 cm
  • c)
    √154 cm
  • d)
    7√3 cm
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In the figure given below, AB= 3√13 cm.AM= 0.75√39 cm,is p...

Since AM is perpendicular from A to BC, triangle ABC is similar to triangle MAC. Hence, we have the relation:

Also, by pythogoras theorem, 
Thus we can write: 

3AC2=0.5625(117+AC2)
We get AC = 3√3. and the hypotenuse of ABC =
ABC is a right angled triangle. Hence the length of the median to the hypotenuse will be half the length of the hypotenuse.
.'. AD=6 cm.
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In the figure given below, AB= 3√13 cm.AM= 0.75√39 cm,is perpendicular to BC. Find the length of themedian of the triangle drawn from A onto BC, if angle BAC is 90°a)6 cmb)6√2 cmc)√154 cmd)7√3 cmCorrect answer is option 'A'. Can you explain this answer?
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