In figure 1, GC <

Given: GC || BD and GE || BF

To find:

Proof: Since, GC || BD

Therefore, by Basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same ratio.

…(i)

Similarly, GE || BF

Therefore, by Basic proportionality theorem

…(ii)

From (i) and (ii), we have

Hence, the value of