ПОМОГИТЕ!!  ПОЖАЛУЙСТА! В трапеции ABCD меньшая диагональ BD, равная 5, перпендикулярна основаниям AD и BC. Сумма острых углов А и С равна 90 . Найдите длину меньшего основания трапеции, если большая диагональ равна 13.

1. I asked him if he had reserved a seat. 2. Bill asked me what country I came from. 3. Bill asked me if I would have time to play chess. 4. Bill asked me if I had played for my school team. 5. She asked if I would like to join their Drama Club. 6. He asked me to made good use of my time and added that i would not get such an opportunaty again. 7. He said that he could not open that and asked Peter to try. 8. The lifeguard asked not to bathe when the red flag was flying. 9. The police officer said that we coud not park there. 10. Peter said to Helen that he would see her in the morning. 11Janet said that she was taking the 5.30 train the following evening. 12. Paul said that the trousers had to be ready that afternoon. 13. Susan said that she had left her umbrella there two days before. 14. Brian said that the parcel had to be there by the end of the following  week. 15. Diana said that she liked that hotel very much. 16. I asked Peter what time the film started. 17. the stewardess asked me if I was enjoying my flight. 18. Ben asked Paul if he had ever been to Spain.

Опускаем перпендикуляр из вершины А на продолжение большего основания. Получаем прямоугольный треугольник. С гипотенузой 13 и малым катетом 5. Больший катет этого треугольника является суммой оснований трапеции. под корнем 169-25=12. Рассмотрим прямоугольные треугольники образованными острыми углами трапеции и опирающие на малую диагональ равную 5. Т.к. сумма углов 90, то тангенс одного равен котангенсу другого. Составляем уравнение принял величину малого основания за х 5/х=(12-х)/5 откуда корни х=6+V11 и х=6-V11. ,но т.к. основание меньшее то единственное решение х=6-V11