Question

Даю 20 баллов.Сторона АВ треугольника АВС равно 12 см Сторона ВС разделена на 3 равные части и через точки деления проведены прямые ,параллельные стороне АВ. Найдите длины отрезков этих прямых ,содержащихся между сторонами треугольника.ПОЖАЛУЙСТА .ТОЛЬКО ПРАВИЛЬНЫЙ ОТВЕТ

Answer 1

Given Information:

We are given that side AB of triangle ABC is 12 cm. Side BC is divided into 3 equal parts, and lines parallel to side AB are drawn through the points of division. We need to find the lengths of the segments of these lines that lie between the sides of the triangle.

Solution:

To find the lengths of the segments of the lines, we need to determine the lengths of the individual segments. Let's denote the points of division on side BC as D and E.

Let's assume that the length of each segment is x cm. Therefore, the length of segment BD is x cm, the length of segment DE is x cm, and the length of segment EC is x cm.

Since side BC is divided into 3 equal parts, we can express the length of side BC in terms of x as follows:

BC = BD + DE + EC 12 cm = x cm + x cm + x cm 12 cm = 3x cm

Now, we can solve this equation to find the value of x:

3x cm = 12 cm x cm = 12 cm / 3 x cm = 4 cm

Therefore, the length of each segment is 4 cm.

To summarize, the lengths of the segments of the lines that lie between the sides of the triangle are as follows: - Length of segment BD: 4 cm - Length of segment DE: 4 cm - Length of segment EC: 4 cm

Please note that the lengths of the segments are equal because side BC is divided into 3 equal parts.

I hope this helps! Let me know if you have any further questions.