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МатематикаВопрос:
In figure 4, angle E = angle F, angle R = 90 degrees, angle S = 90 degrees, RE = SF. Prove that triangle RES is congruent to triangle SFE.
Ответ:
Краткое пояснение: Используем признак равенства прямоугольных треугольников по гипотенузе и острому углу (Hypotenuse-Angle).
Пошаговое решение:
- Рассмотрим треугольники RES и SFE.
- Угол R = Угол S = 90 градусов (дано).
- RE = SF (дано).
- Угол E = Угол F (дано).
- Следовательно, треугольник RES равен треугольнику SFE по гипотенузе и острому углу.
Ответ: Треугольник RES равен треугольнику SFE по гипотенузе и острому углу.
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