In the ABC triangle, the straight line MN is parallel to the AC side, divides the BC side

univerkov | June 14, 2021 | education

In the ABC triangle, the straight line MN is parallel to the AC side, divides the BC side into from the cut BN = 15 cm and NC = 5 cm, and the AB side into BM and AM. Find the length of the cut MN if AC = 15 cm.

1) What is the BC side?

ВN + NC = 15 + 5 = 20 cm

BC = 20 cm

2) What is the AC side?

ВN / ВС = MN / АС

15/20 = MN / 15

MN = (15 * 15) / 20

MN = 225/20

MN = 11.25 cm

Answer: The speaker side is 11.25 cm

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