Krishna
0

Step 1: Examine the given figure and note down the given data

NOTE: In the given figure, LM || CB and  LN || CD

Step 2: Divide the given figure into two triangles based up on the given data

NOTE:  LM || CB and  LN || CD

So, take triangle ABC and triangle ADC

(because we can apply basic proportionality theorem.)

Step 3: Apply the basic proportionality theorem to the triangles.

EXAMPLE: In triangle ABC,  LM || CB

\frac{AM}{MB} = \frac{AL}{LC}.......................(1)

In triangle ADC, LN || CD

\frac{AN}{ND} = \frac{AL}{LC} ........................(2)

Step 4:  Prove the given ratio by using the equations

EXAMPLE: From the equations (1) and (2)

we get \frac{AM}{MB} = \frac{AN}{ND}