AB = 11 cm, AM = 7 cm, BC = 9 cm, CN = 13 cm.Find the ratio S1: S2.

univerkov | May 7, 2021 | education

The length of the segment BH = BC + CH = 9 + 13 = 22 cm.

The length of the segment BM = BA + AM = 11 + 7 = 18 cm.

The triangles MBH and ABC have a common angle.

BA / BH = 11/22 = 1/2.

BC / BM = 9/18 = 1/2.

Then the triangles MBN and ABC are similar in two proportional sides and the angle between them.

The coefficient of similarity of the triangle is K = 1/2.

Then S1 / S2 = K ^ 2 = 1/4.

Answer: The area ratio is 1/4.

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