Предмет: Геометрия, автор: annataty733

В прямоугольном треугольнике ABC из произвольной точки E катета AC опущен перпендикуляр ED на гипотенузу AB. DE=2, BC=4. Площадь треугольника ADE равна 5. Найдите площадь треугольника ABC.

Ответы

Автор ответа: tanya2512
0
Прямоугольные ΔАДЕ и ΔАСВ подобны по острому углу: угол А-общий (если прямоугольные треугольники имеют по равному острому углу, то такие треугольники подобны) с коэффициентом подобия к=ВС/ДЕ=4/2=2
Отношение площадей подобных треугольников равно квадрату коэффициента подобия:
Sасв/Sаде= к²=4
Sасв=4Sаде=4*5=20
Интересные вопросы
Предмет: Английский язык, автор: anarrag
Убедительная просьба быстро решить, приемлемое вознаграждение 100 баллов (первому решившему).

Раскройте скобки и запишите предложения полностью в Present Simple, Past Simple, Future Simple или Present Continuous.

1. Kate (to cook) dinner every day. _____________________________________________________________

2. Kate (to cook) dinner tomorrow. _____________________________________________________________

3. Kate (to cook) dinner now. _____________________________________________________________

4. Kate (to cook) dinner yesterday. _____________________________________________________________

5. I (not to eat) ice cream every day. _____________________________________________________________

6. I (not to eat) ice cream now. _____________________________________________________________

7. I (not to eat) ice cream tomorrow. _____________________________________________________________

8. I (not to eat) ice cream yesterday. _____________________________________________________________

9. He (to spend) last summer in the country. _____________________________________________________________

10. He (not to spend) last summer in the country. _____________________________________________________________

11. He (to spend) last summer in the country? _____________________________________________________________

12. Where he (to spend) last summer? _____________________________________________________________

13. She (to help) mother yesterday. _____________________________________________________________

14. She (not to help) mother yesterday. _____________________________________________________________

15. She (to help) mother yesterday? _____________________________________________________________

16. How she (to help) mother yesterday? _____________________________________________________________

17. You (to go) to school every day? _____________________________________________________________

18. You (to go) to school now? _____________________________________________________________

19. You (to go) to the south next summer? _____________________________________________________________

20. You (to go) abroad last summer? _____________________________________________________________

21. What your brother (to do) every day? _____________________________________________________________

22. What your brother (to do) now? _____________________________________________________________

23. What your brother (to do) tomorrow? _____________________________________________________________

24. What your brother (to do) yesterday? _____________________________________________________________

25. What you (to get) for your birthday? _____________________________________________________________