Find the length of medians (mm, and m ) of AABC, where a = 3 cm, b = 3 cm, c = 3 cm
What do you observe?
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Step-by-step explanation:
Given : In △ABC, AB=4 cm and AC=8 cm.
M is the midpoint of BC and AM=3 cm
Using Apollonius theorem,
AB
2
+AC
2
=2(AM
2
+BM
2
)
⟹ 4
2
+8
2
=2(3
2
+BM
2
)
⟹ 16+64=2(9+BM
2
)
⟹ BM
2
=31
⟹ BM=
31
.
∵ BC=2BM
∴ BC=2
31
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