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ответ: 64 см
Объяснение: Примем больший угол равным х. Тогда меньший равен х-60°. Сумма углов при одной стороне параллелограмма 180°. Ромб - параллелограмм. Поэтому х+х-60°=180°=>
2х=240°, х=120°. Меньший угол 120°-60°=60°. Диагонали ромба являются биссектрисами его углов. Поэтому меньшая диагональ ромба делит его на два треугольника с углами, равными 60°. => Эти треугольники равносторонние. Следовательно, стороны ромба равны меньшей диагонали. Стороны ромба равны.
Р(ромба)=4•16=64 см.
АВ=ВС=5 см
АС=6 см
ВО=2,5 см
ОН-?
Решение:
Рассмотрим треугольник ВАН
угол АНВ=90* => треугольник прямоугольный
ВН=корень 5^2-3^2 = корень 25-9 = корень 16=4
ОН= 4-2,5 =1,5 (см)