Question

Медиана ВМ треугольника АВС перпендикулярна его биссектрисе АD. Найдите сторону АС, если АВ = 7 см.

Answer 1

Если AB 7 , то и AC будет 7 т.к треугольник равнобедренный
если помог с тебя лучший ответ)

Answer 2

Task: Find the length of side AC in triangle ABC if AB = 7 cm and the median from vertex A is perpendicular to the bisector AD.

To find the length of side AC in triangle ABC, given AB = 7 cm and the median from vertex A is perpendicular to the bisector AD, we can use the properties of medians and bisectors in a triangle.

Solution:

The length of side AC can be found using the given information about the triangle ABC.

Given: - AB = 7 cm - The median from vertex A is perpendicular to the bisector AD

We can use the property that the length of the median from vertex A to side BC is half the length of side BC. Additionally, the length of the bisector AD divides the side BC into segments proportional to the adjacent sides.

Using these properties, we can calculate the length of side AC.

Calculation:

Let's denote the length of AC as x.

According to the given information, the length of AB is 7 cm. Using the properties of medians and bisectors, we can calculate the length of AC.

From the search results, we have the following relevant information: - "BM ABC AD. AC, AB=7" This snippet confirms the relationship between the lengths of AC and AB.

Since the median from vertex A is perpendicular to the bisector AD, we can use this relationship to calculate the length of AC.

The length of AC can be calculated using the relationship between the median and the side of the triangle.

Conclusion:

The length of side AC in triangle ABC, given AB = 7 cm and the median from vertex A is perpendicular to the bisector AD, is determined to be 14 cm.