Предмет: Геометрия, автор: Tima322

Продолжение боковых сторон трапеции ABCD AB и DC пересекаются точке К А) Докажите подобие треугольника AKD и
ABK Б) Найдите длину боковых сторон АВ если основание трапеции AD 20дм BC 5 дм а отрезок AK 16 дм

Ответы

Автор ответа: pata023

тр-ки АОВ и ВОС подобны по трем углам ВС/АД=ВО/АО=5/9
решив пропорцию находим ВО=(5*18):9=10;АВ=18-10=8см

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