Предмет: Геометрия, автор: SCREAM1498

Основания равнобедренной трапеции равны 21 и 15, один из углов равен 45⁰.Найдите высоту трапеции

Ответы

Автор ответа: Medyzzza

21-15=6

6:2=3

ответ 3:))))))))))))))))))))))))))))))))

нарисуем трапецию АВСD

ВC-15

AD-21

угол А и D=45(т.к. они одинаковые), значит углы B и C=135

проводим высоты BE и CF(все углы по 90)

рассмотрим треугольник АВЕ

угол В= 135-90=45 => углы А и В равны(они по 45), значит и стороны АЕ и ВЕ равны( по признаку треугольника)

находим АЕ=(21-15):2=3

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