Let DK be x AK=CK=8-x angle d be 120? Finding AK by cosine theorem in triangle ADK
The last question is only about ideas.
(1) y 1 intersects the x axis at the fixed point a (5,0).
(2) Let B(x, y) list the distance from the origin of AB straight line equation to the straight line as √5① Bring B into the circular equation ② and solve the coordinates of point B.
Substitute b into y 1? Y 1 available
(3) suppose there is
Can we get the coordinates of a, b and c now? Suppose we can find the length of P(x, y)BC and AC? The areas of the two triangles are equal. ① Substitute P into y 1② to see if P meets the requirements.