Question

От вершины М равнобедренного треугольника KLM(MK=ML)отложены равные отрезки :MN на стороне МКи MH на стороне МL. Докажите что угол МКН=углу MLN.Тож Срочно надо пж

Answer 1

Дано. МК=ML ;MN=MH
доказать<MKH=<MLN
трKHM=трKHL (KM=ML ;MN=MH ;<M общая
угол) значит. <MKH=MLN

Answer 2

Given Information

We are given a triangle KLM, where MK = ML. From the vertex M, equal segments MN and MH are drawn on the sides MK and ML, respectively. We need to prove that angle MKN is equal to angle MLN.

Proof

To prove that angle MKN is equal to angle MLN, we can use the fact that the opposite angles of an isosceles triangle are equal. In triangle KLM, since MK = ML, we have an isosceles triangle.

Let's consider triangle KMN and triangle LMH. We can see that they share a common side MN and MH, respectively. Additionally, KM = LM because MK = ML.

By the Side-Angle-Side (SAS) congruence criterion, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Therefore, we can conclude that triangle KMN is congruent to triangle LMH.

Since the triangles are congruent, the corresponding angles are equal. Therefore, angle MKN is equal to angle MLN.

Hence, we have proved that angle MKN is equal to angle MLN.

Note: The given information and proof are based on the available search results. For more detailed information or alternative proofs, additional sources may be required.