Предмет: Математика, автор: nnast

Отношение длин диагоналей ромба 3:4.
Найди площадь ромба, если длина его стороны равна 50 см.

Ответы

Автор ответа: catti14

пусть длина одной диагонали 3х, тогда другой 4х. по теореме Пифагора (3х)^2+(4х)^2=50^2; 9х^2+16х^2=2500; 25х^2=2500; х^2=100, х=10. тогда одна диагональ 3*10=30. вторая 40. площадь 30*40*sin90°=30*40=1200см^2

Автор ответа: catti14

можно площадь найти как сумму площадей четырех равных прямоугольных треугольников. s= 4* 30/2*40/2= 4*15*20=60*20=1200

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