in triangle abc q is the midpoint of side bc .ab2 =ac2=122 ,bc =10 to find the median of BC
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Answer:
In ΔABC, seg AQ is a median
∴ BQ= 21, BC= 21×10, BQ=5
By Appollonius theorem,
AB 2+AC 2 =2AQ
2+2BQ 2
122=2AQ2 +2(5) 2
122=2AQ 2+2×25
122=2AQ 2+50
122−50=2AQ 2
72=2AQ 2
272 =AQ 2
36=AQ 2
AQ=6
∴ The length of the median is 6 units.
Step-by-step explanation:
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