Ex4 : Given A(12,0), B(0,7), C(0,0), 1. find the barycentric coordinates centroid G of AABC. (Hint: G is the intersection of medians) 2. Find the Cartesian coordinates of G. BD 3 CE 3. Let D, E be on BC, CA, AB such that 2. DC 4' EA Find the barycentric coordinates of the intersection P of the cevians AD,BE. 4. Find the Cartesian coordinates of P. 5. If the extended CP intersects AB at F, find the barycentric and Cartesian coordinates of F. Ex4 : Given A(12,0), B(0,7), C(0,0), 1. find the barycentric coordinates centroid G of AABC. (Hint: G is the intersection of medians) 2. Find the Cartesian coordinates of G. BD 3 CE 3. Let D, E be on BC, CA, AB such that 2. DC 4' EA Find the barycentric coordinates of the intersection P of the cevians AD,BE. 4. Find the Cartesian coordinates of P. 5. If the extended CP intersects AB at F, find the barycentric and Cartesian coordinates of F