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МатематикаВопрос:
In figure 2, MK = NK, AM = BN, angle M = angle N. Prove that triangle KMT is congruent to triangle KNT.
Ответ:
Краткое пояснение: Используем признак равенства треугольников по трем сторонам (SSS).
Пошаговое решение:
- Рассмотрим треугольники KMT и KNT.
- MK = NK (дано).
- Угол M = Угол N (дано).
- AM = BN (дано).
- Следовательно, MT = KT (так как MK = AM + MT и NK = BN + NK, и MK = NK, AM = BN, то MT = NT).
- Треугольник KMT равен треугольнику KNT по трем сторонам (SSS).
Ответ: Треугольник KMT равен треугольнику KNT по трем сторонам.
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