Question

В треугольнике АВС проведена медиана AF и высота CD. Найдите отрезок DF, если ВС=10 см.

Answer 1

Треугольник  CDB прямоугольный , угол CDB =90, DF - медиана проведенная на гипотенузу ВС = 1/2 ВС =10/2=5

Answer 2

Triangle Geometry Problem

In triangle ABC, median AF and height CD are drawn. We need to find the length of segment DF, given that BC = 10 cm.

Solution

To find the length of segment DF, we can use the formula for the length of a median in a triangle, which is given by:

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

Where AB and AC are the lengths of the sides of triangle ABC.

Calculation

Given that BC = 10 cm, we need to find the lengths of AB and AC to calculate DF.

Length of AB and AC

To find the lengths of AB and AC, we can use the Pythagorean theorem and the properties of right-angled triangles. However, the lengths of AB and AC are not provided in the search results. Therefore, without this information, it is not possible to calculate the exact length of segment DF.

If you have the lengths of AB and AC, please provide them, and I can help you calculate the length of segment DF using the formula mentioned above.