4. In a triangle ABC, M is the mid-point of side AB, median of triangleABC is :
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3
Answer:
In triangle BNC,
D is the mid- point of BC.
and DK || BN
Hence, K will be the mid point of NC.
i.e. NK = KC ------ (1)
Now,
In triangle ADK,
M is the mid- point of AD
& MN || DK (By Construction)
Hence, N will be bisector of AK.
i.e. AN = NK --------(2)
From equation (1) & (2) We get,
=> AN= NK = KC
But,
=> AN+NK+KC = AC
=> AN+AN+AN = AC [ Because AN=NK=KC]
=> 3 AN = AC
=> AN = AC/3 or 1/3 AC
Answered by
0
Answer:
ac
Step-by-step explanation:
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