ABC is a triangle. M and N are points on AB and BC respectively. If AB = 10cm, BM = 5cm, CN = 8cm and MN is parallel to AC then: * 1)BC = 10cm and BN = 8cm 2)BC = 16cm and BN = 5cm 3)BC = 16cm and BN = 8cm 4)BC = 10cm and BN = 5cm
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Answer:
Hello There,
This is your answer.
Step-by-step explanation:
Given:
AB = 10 cm
BM = 5 cm
CN = 8 cm
MN is parallel to AC
Solution:
BC = 16 cm ( N is the midpoint of BC. CN = BN = 8 cm.
BC = CN + BN = 8 + 8 = 16 cm )
BN = 8 cm ( N is the midpoint of BC. CN = BN = 8 cm.)
Therefore, option 3) BC = 16 cm and BN = 8 cm is the correct option.
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