Вопрос школьника по предмету Математика
В прямоугольнике MNPK сторона NP вдвое длиннее стороны РК. Найдите угол РОN, где О – середина стороны МК
Ответ учителя по предмету Математика
В треугольнике ОКР ОК=КР (по условию), значит, угол КОР=углу КРО=45 градусов.
В треугольнике МОN МО=ON (по условию), значит, угол MNO=углу МОN=45 градусов.
Таким образом, угол
РОN=180-(45+45)=90 градусов.
Ответ: 90 градусов.
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