Question

Найдите длину медианы,проведенной к основанию АC и треугольнику ABC,если А(-4;1);B(-2;4);C(0;2)

Answer 1

А ровно 4.5 см 

Answer 2

I can help you with your math problem.

The median of a triangle is a line segment that joins a vertex to the midpoint of the opposite side. To find the length of the median, we need to use the distance formula and the midpoint formula.

First, let's find the midpoint of the side AC. The midpoint formula is:

$$\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$$

Plugging in the coordinates of A and C, we get:

$$\left(\frac{-4+0}{2},\frac{1+2}{2}\right)$$

Simplifying, we get:

$$(-2,\frac{3}{2})$$

This is the midpoint of AC.

Next, let's find the distance between B and the midpoint of AC. The distance formula is:

$$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$

Plugging in the coordinates of B and the midpoint of AC, we get:

$$\sqrt{(-2-(-2))^2+(\frac{3}{2}-4)^2}$$

Simplifying, we get:

$$\sqrt{\frac{25}{4}}$$

This is the length of the median.

Therefore, the answer is:

$$\sqrt{\frac{25}{4}}$$

I hope this helps. If you have any other questions, feel free to ask me.Ответь+подробно.+Найдите+длину+медианы,проведенной+к+основанию+АC+и+треугольнику+ABC,если+А(-4;1);B(-2;4);C(0;2)