Question

В треугольнике АВС АВ=ВС=15,АС=24 .Найдите длину медианы BM

Answer 1

Медаина в данном случае является биссектрисой и высотой равнобедренного треугольника.Находим её по теореме Пифагора.
15^2-12^2=9-длина медианы

Answer 2

Problem Analysis

We are given a triangle ABC with AB = BC = 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 length of a median can be calculated using the formula:

BM = (1/2) * sqrt(2 * AB^2 + 2 * AC^2 - BC^2)

Substituting the given values, we have:

BM = (1/2) * sqrt(2 * 15^2 + 2 * 24^2 - 15^2)

Simplifying the equation:

BM = (1/2) * sqrt(2 * 225 + 2 * 576 - 225)

BM = (1/2) * sqrt(450 + 1152 - 225)

BM = (1/2) * sqrt(1377)

Calculating the value:

BM ≈ 18.6

Therefore, the length of the median BM is approximately 18.6 units.

Answer

The length of the median BM in triangle ABC, where AB = BC = 15 and AC = 24, is approximately 18.6 units.