Q6 of 46 Page 1

In figure 1, GC || BD and GE || BF. If AC = 3 cm and CD = 7 cm, then find the value of .


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


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