in triangle AB² + AC² = 122, BC=10 then find median drawn to side BC ?
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Answered by
2
Answer:
In ΔABC, seg AQ is a median
∴ BQ=
2
1
BC=
2
1
×10
BQ=5
By Appollonius theorem,
AB
2
+AC
2
=2AQ
2
+2BQ
2
122=2AQ
2
+2(5)
2
122=2AQ
2
+2×25
122=2AQ
2
+50
122−50=2AQ
2
72=2AQ
2
2
72
=AQ
2
36=AQ
2
AQ=6
∴ The length of the median is 6 units
Answered by
5
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.
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