Mid points of the sides AB and AC of triangle ABC are (-3,5) and (-3,-3) respectively, then the length of BC
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Answer:
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Step-by-step explanation:
M & N are the mid-point of AB and AC.
∴MN∥BC (mid-point theorem)
∴ In △AMN & △ABC
∠A=∠A (common)
∠AMN=∠ABC (corresponding angles)
∠ANM=∠ACB (corresponding angles)
∴△AMN∼△ABC (AAA)
∴
AB
AM
=
BC
MN
=
NC
AN
=
2
1
∴
BC
MN
=
2
1
BC=2MN
∴MN=
(−3−3)
2
+(−3−5)
2
=
36+64
=10
∴BC=2×10=20
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