Q6 of 70 Page 140

Fill in the blanks so that the following statements are true:

In ΔABC, A—M—B, A—N—C and ||. If AM = 8.4, AN = 6.4, CN = 19.2, then AB = ______.

We have



Given: A – M – B, A – N – C


MN ∥ BC


AM = 8.4


AN = 6.4


CN = 19.2


To find: AB = ?


Take ∆ABC,


We know that, MN ∥ BC. So, by property we can write as:



⇒


⇒


⇒


⇒ BM = 25.2


We know AM = 8.4 and BM = 25.2.


Now, AB = AM + BM [∵, from the diagram]


⇒ AB = 8.4 + 25.2


⇒ AB = 33.6


Thus, the answer is 33.6.


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