Using sine rule and triangle similarity, please prove the theorem - When two chords intersect within a circle, the products of the intercepts are equal.
Hence, please prove Triangle Similarity using Sine Rule. Reference: https://amsi.org.au/teacher_modules/Circle_Geometry.html
Note: Just studying Circle Geometry for self-education purposes.
Here is a circle with Two Similar Triangles. Similar Triangles in a Circle with Intersecting Chords
Please prove Triangle Similarity using the Sine Rule.
It's a delight to provide additional materials to provide more context. Video (Intercepts in Two Intersecting Chords of a Circle) - https://drive.google.com/file/d/1MwfD3_KCKgNt0pXaOcFcMrNMGkOMbRXJ/view?usp=sharing
Video Guide (Video Guide Using Congruent Angles in the same arc - Proof - The products of the intercepts are equal in an intersection of chords) https://drive.google.com/file/d/16Xfg1BR5sMCcsuU7plBbihGlVQ8IymRI/view?usp=sharing
Again, please prove Triangle Similarity using the Sine Rule. Thank you for the kind help.