Given the points A(2, 4) and B(8, 10), find the coordinates of the point P on
directed lines segment AB that partitions AB in the ratio 5:1.

Math it's appreciated. (picture provided)

Two triangles can be formed with the given information. use the law of sines to solve the triangles. b = 49°, a = 16, b = 14

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.