In triangle ABC, BM is the median, BH is the height. It is known that AC = 15, BC = BM. Find AH

univerkov | August 17, 2021 | education

Consider the triangle ABC. BM is the median, then AM = MC = AC / 2 = 15/2 = 7.5 cm.

Consider the MBC triangle. ВМ = ВС, it means an isosceles triangle. The height BH is also the median.

MH = HC = MC / 2 = 7.5 / 2 = 3.75 cm.

AH = AM + MH = 7.5 + 3.75 = 11.25 cm.

Answer: The AH side is 11.25 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.