1. The problem is to understand and apply Ceva's Theorem in geometry. 2. Ceva's Theorem states that for a triangle $ABC$, and points $D$, $E$, and $F$ lying on sides $BC$, $CA$, and $AB$ respectively, the cevians $AD$, $BE$, and $CF$ are concurrent if and only if: $$\frac{BD}{DC} \times \frac{CE}{EA} \times \frac{AF}{FB} = 1$$ 3. This means that the product of the ratios of the divided sides is equal to 1 when the three lines intersect at a single point. 4. To use Ceva's Theorem, identify points $D$, $E$, and $F$ on the sides of the triangle, calculate the ratios of the segments they create, and check if the product equals 1. 5. If the product equals 1, the cevians are concurrent; otherwise, they are not. This theorem is useful in proving concurrency in triangles and solving related geometry problems.