In triangle ABC: AB = BC = 53, AC = 56cm. Find the length of the Median BM.

1) AB = BC, which means that the triangle ABC is isosceles. In an isosceles triangle, the median is the height. That is, the angle of the ВМС is straight (90), which means that the triangle of the ВМС is rectangular.
2) The median divides the side in half, we get that AM = MC = 0.5 AC. And it leans 28.
3) using the Pythagorean theorem, calculate the median 53 × 53-28 × 28
Answer: 45