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Question:
Draw a line segment AB = 6 cm. Find a point C on AB such that AC : CB = 3 : 2. Measure AC and CB
Answer:

Given Line AB = 6cm

Given AC : CB = 3 : 2

Let AC = 3x and CB = 2x

Now  AC + CB = 6

=> 3x + 2x = 6

=> 5x = 6 

=> x =6/5

Now AC = 3x = 3 * 6/5

                   = 18/5

=> AC         = 3.6 cm

 CB = 2x = 2 * 6/5

             = 12/5

=> CB   = 2.4 cm

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