Question

In the diagram, segments BG,CF, and DE are parallel. The length of segment BD is 6.32 feet, and the length of segment De is 6 feet. Name all pairs of similar triangles in the diagram. Then find the l;ength segments BG and Cf.

Answer 1

Similar triangles are triangles with equal corresponding angles and proportionate sides. Thus the pair of similar triangles will be:
Δ ADE≈ΔACF≈Δ ABG
this implies that the corresponding angles are equal. Thus:
∠B=∠C=∠D
∠G=∠F=∠E
and the ratio of corresponding sides are equal