28. Circles $\Omega_{1}$ and $\Omega_{2}$ of equal radii intersect at points $B$ and $C$. A point $A$ is chosen on circle $\Omega_{1}$. Ray $A B$ intersects circle $\Omega_{2}$ at point $D$ (point $B$ lies between points $A$ and $D$). On ray $D C$, a point $E$ is chosen such that $D C = C E$. Find $A E$, if param1.

| param1 | Answer |
| :---: | :---: |
| $A C=5, A D=6$ |  |
| $A C=5, A D=8$ |  |
| $A C=13, A D=10$ |  |
| $A C=13, A D=24$ |  |
28. Circles $\Omega_{1}$ and $\Omega_{2}$ of equal radii intersect at points $B$ and $C$. A point $A$ is chosen on circle $\Omega_{1}$. Ray $A B$ intersects circle $\Omega_{2}$ at point $D$ (point $B$ lies between points $A$ and $D$). On ray $D C$, a point $E$ is chosen such that $D C = C E$. Find $A E$, if param1.

| param1 | Answer |
| :---: | :---: |
| $A C=5, A D=6$ | 8 |
| $A C=5, A D=8$ | 6 |
| $A C=13, A D=10$ | 24 |
| $A C=13, A D=24$ | 10 |