Question

4. В равнобедренном треугольнике ABC с основанием АС проведена медиана ВД. Точка Р- середина стороны BA, точка K- середина стороны ВС. Докажите равенство треугольников ВДР и ВДК.

Answer 1

Ответ:

Тутутуру

Объяснение:

лайк поставь и оцени

Answer 2

Proof of Triangle Congruence

To prove the congruence of triangles VDR and VDK, we can use the congruence criterion for triangles known as the Side-Angle-Side (SAS) congruence criterion. According to this criterion, if two triangles have two sides and the included angle of one triangle congruent to two sides and the included angle of the other triangle, then the triangles are congruent.

In this case, we have: - Side VR, which is common to both triangles VDR and VDK. - Side DR, which is congruent to side DK. This is because both DR and DK are medians of triangle ABC, and medians of a triangle are always congruent. - Angle V, which is the included angle between sides VR and DR in triangle VDR, is congruent to angle V, which is the included angle between sides VR and DK in triangle VDK. This is because both angles are formed by the median VR and the side DR/DK.

Therefore, we can conclude that triangles VDR and VDK are congruent by the SAS congruence criterion.

Note: The given problem statement does not provide specific numerical values or additional information about the triangle ABC, so we can only prove the congruence based on the given information.