Krishna
0

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

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

                           \frac{AM}{MB} = \frac{AN}{AD}


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}