Question

In the figure, GC ll BD and GE ll BF . if AC = 3 cm and CD =7 cm then find the value of AE/AF.​

Answer 1

Answer:

Step-by-step explanation:

is there any value given of AG OR GB

Answer 2

The value of $\frac{AE}{AF}=\frac{3}{7}$

Step-by-step explanation:

Given:

GC║BD and GE║BF

AC = 3 cm and CD =7 cm

To find:  

Value of  $\frac{AE}{AF}$ = ?

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.

$\frac{AC}{AD} =\frac{AG}{AB}$                           [1]

Similarly, GE║BF

Therefore, by Basic proportionality theorem

$\frac{AE}{AF} =\frac{AG}{AB}$                           [2]

From (1) and (2), we have

$\frac{AC}{AD} =\frac{AE}{AF}$

$\frac{3}{7} =\frac{AE}{AF}$                           [given]

Hence the value of $\frac{AE}{AF}=\frac{3}{7}$