Question

Точка М- середина стороны АВ треугольника АВС, Найдите длинну АВ , если АМ= 5см

Answer 1

Ам половина ав,значит ав=10

Answer 2

Finding the Length of AB in Triangle ABC

To find the length of AB in triangle ABC when AM = 5 cm, we can use the concept of medians in a triangle.

Median in a Triangle: In a triangle, a median is a line segment joining a vertex to the midpoint of the opposite side.

Solution

Given that AM = 5 cm, we can use the formula for the length of a median in a triangle:

Formula: In a triangle ABC, if M is the midpoint of side BC, then AM = (1/2) * sqrt(2 * (AB^2 + AC^2) - BC^2)

Calculating the Length of AB

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

AM = 5 cm

Using the formula for the length of a median in a triangle, we have: 5 = (1/2) * sqrt(2 * (AB^2 + AC^2) - BC^2)

We can solve for AB using the given information and the formula.

Calculation: 5 = (1/2) * sqrt(2 * (AB^2 + AC^2) - BC^2) Now, we can solve for the length of AB using the given equation.

This approach will help us find the length of AB in triangle ABC when AM = 5 cm.