Question

В трикутниках ABC i KLM відомо, що ZA =ZK, AB = 5см, ВС = 7см, AC = 3см, KL = 15см, КМ = 9см. Довести, що ААВС-ДKLм. Знайти невідому сторону трикутника KLM.​

Answer 1

Ответ:

Дано:

ZA=ZK

AB=5

BC=7

AC=3

KL=15

KM=9

Довести:

ABC=KLM

Доведення:

Периметр ABC=5+7+3=15 см

Периметр KLM=15+9+x=x

24+2x

x=24÷2

x=12

KLM=15+9+12=36см

Вони не рівні

Объяснение:

Я не знаю правильно ли, если не правильно виправте

Answer 2

Given Information:

We are given the following information about triangles ABC and KLM: - ZA = ZK - AB = 5 cm - BC = 7 cm - AC = 3 cm - KL = 15 cm - KM = 9 cm

To Prove:

We need to prove that triangles AABС and DKLm are congruent.

Proof:

To prove that triangles AABС and DKLm are congruent, we can use the Side-Angle-Side (SAS) congruence criterion. According to this criterion, if two triangles have two sides and the included angle of one triangle equal to the corresponding sides and included angle of the other triangle, then the triangles are congruent.

In this case, we can see that: - AB = KL (given) - AC = KM (given) - ZA = ZK (given)

Therefore, we have two sides and the included angle of triangle AABС equal to the corresponding sides and included angle of triangle DKLm. Hence, by the SAS criterion, triangles AABС and DKLm are congruent.

Finding the Unknown Side:

To find the unknown side of triangle KLM, we can use the fact that triangles AABС and DKLm are congruent. Since corresponding sides of congruent triangles are equal, we can conclude that BC = LM.

Therefore, the unknown side of triangle KLM is 7 cm.

In summary: - Triangles AABС and DKLm are congruent. - The unknown side of triangle KLM is 7 cm.

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