Предмет: Алгебра, автор: lenshikk

в трапеции основания равны 5 и 15 а диагонали 12 и 16 найдете площадь трапеции

Ответы

Автор ответа: tanya2512

Через вершину C меньшего основания BC трапеции ABCD (BC = 5, AD = 15, BD = 12, AC = 16) проведём прямую, параллельную диагонали BD, до пересечения с прямой AD в точке K. Стороны треугольника ACK равны: AC = 16, CK = BD = 12, AK = AD + DK = AD + BC = 15+5=20 По формуле Герона р=(16+12+20)/2=24 SAСК=√24(24-16)(24-12)(24-20)=96 Следовательно, SABCD = SACK = 96

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