Question

In ∆ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm. Is PQ || AB?

Answer 1

SOLUTION :  

CONVERSE OF BASIC PROPORTIONALITY theorem :  

If a line divides any two sides of a triangle in the same ratio then the line must be parallel to the third side.

GIVEN :  

CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm

To find whether PQ || AB , we have to use converse of BPT to check that the sides are in the same ratio.  

CP/AC = 10/16 = 5/8

CQ/CB = 25/30 = ⅚

CP/AC ≠  CQ/CB

Hence, PQ is not  || to AB .

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

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