Plesase solve this Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures. (10 points)

pencil, paper, ruler

Draw:- Label the vertices.

can be anywhere on these sides.

Draw:-

a second triangle, Label the vertices

Draw:-

Are they equal?

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft