Question

В треугольнике авс ав=15, ас=24 найти медиану вм

Answer 1

Рассмотрим треугольник авм: ав=15, ам=12. Из теоремы Пифагора следует вм²=225-144.   вм²=81.        вм=9

Answer 2

Problem Analysis

We are given a triangle ABC, where AB = 15 and AC = 24. We need to find the length of the median BM.

Solution

To find the length of the median BM, we can use the formula for the length of a median in a triangle. The formula states that the length of a median is equal to half the length of the side it bisects.

In this case, BM is the median that bisects the side AC. Therefore, the length of BM is equal to half the length of AC.

Using the given information, we can calculate the length of BM as follows:

BM = (1/2) * AC

Let's substitute the value of AC into the formula:

BM = (1/2) * 24

Simplifying the expression, we get:

BM = 12

Therefore, the length of the median BM is 12.

Answer

The length of the median BM in triangle ABC is 12.