Q. 6 F5.0( 1 Vote )

# 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 = ______.

Answer :

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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