Предмет: Математика, автор: Melisa91

найти площадь ромба,если одна из его диагоналей 15 а периметр ромба 39

Ответы

Автор ответа: 1961uvg

Так как у ромба все стороны равны, то
39/4=9,75 одна сторона ромба ( гиротенуза )
Половина диагонали ( первый катет ) =15/2=7,5
Из теоремы Пифагора :
/9,75-7,5=/2,25=1,5 - второй катет
Так как таких треугольников в ромбе 4
то площадь прямоугольного треугольника:
S=1/2*7.5*1.5=5.625
Следовательно площадь ромба = 5,625*4=22,5

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