1. The problem is to understand and apply Lamis Theorem. 2. Lamis Theorem is a result in geometry related to triangles and circles, often used to find lengths or prove properties involving chords and tangents. 3. The theorem states that if a point lies on the circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of another chord intersecting at that point. 4. Mathematically, if chords AB and CD intersect at point P, then $$PA \times PB = PC \times PD$$. 5. To apply this theorem, identify the chords intersecting inside the circle and measure or calculate the segment lengths. 6. Use the formula to find unknown lengths or verify relationships. 7. This theorem is useful in solving many geometry problems involving circles and chords. 8. Remember, the point of intersection must lie inside the circle for the theorem to hold. 9. Example: If $PA=3$, $PB=4$, and $PC=2$, then $PD$ can be found by $$3 \times 4 = 2 \times PD \Rightarrow PD = \frac{12}{2} = 6$$. 10. Thus, Lamis Theorem helps relate segment lengths in circle geometry problems.