Краткое пояснение: Для решения задачи необходимо воспользоваться свойствами прямоугольного треугольника и теоремой Пифагора, чтобы найти неизвестные стороны.
Решение:
| № |
\(AA_1\) |
\(AO_1\) |
\(AO\) |
| 1 |
15 |
\(\sqrt{AO^2 - AA_1^2}\) |
\(AO\) |
|
|
\(\sqrt{AO^2 - 15^2}\) |
|
|
|
|
|
| 2 |
12 |
\(\sqrt{AO^2 - AA_1^2}\) |
\(AO\) |
|
|
\(\sqrt{AO^2 - 12^2}\) |
|
|
|
|
|
| 3 |
21 |
\(\sqrt{AO^2 - AA_1^2}\) |
\(AO\) |
|
|
\(\sqrt{AO^2 - 21^2}\) |
|
|
|
|
|
| 4 |
6 |
\(\sqrt{AO^2 - AA_1^2}\) |
\(AO\) |
|
|
\(\sqrt{AO^2 - 6^2}\) |
|
|
|
|
|
| 5 |
\(AA_1\) |
5 |
\(\sqrt{AO_1^2 + AA_1^2}\) |
|
|
|
\(\sqrt{5^2 + AA_1^2}\) |
|
|
|
|
| 6 |
\(AA_1\) |
3 |
\(\sqrt{AO_1^2 + AA_1^2}\) |
|
|
|
\(\sqrt{3^2 + AA_1^2}\) |
|
|
|
|
| 7 |
\(AA_1\) |
\(\frac{1}{3}\) |
\(\sqrt{AO_1^2 + AA_1^2}\) |
|
|
|
\(\sqrt{(\frac{1}{3})^2 + AA_1^2}\) |
|
|
|
|
| 8 |
\(AA_1\) |
\(\sqrt{7}\) |
\(\sqrt{AO_1^2 + AA_1^2}\) |
|
|
|
\(\sqrt{(\sqrt{7})^2 + AA_1^2}\) |
|
|
|
|
| 9 |
\(\sqrt{AO^2 - AO_1^2}\) |
\(AO_1\) |
4 |
|
\(\sqrt{4^2 - AO_1^2}\) |
|
|
|
|
|
|
| 10 |
\(\sqrt{AO^2 - AO_1^2}\) |
\(AO_1\) |
6 |
|
\(\sqrt{6^2 - AO_1^2}\) |
|
|
|
|
|
|
| 11 |
\(\sqrt{AO^2 - AO_1^2}\) |
\(AO_1\) |
\(2\sqrt{3}\) |
|
\(\sqrt{(2\sqrt{3})^2 - AO_1^2}\) |
|
|
|
|
|
|