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Question

The point C divides the line segment in the ratio 4:9. Find the length of AC if the line segment AB is 26 cm long


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Solution

ACBC= 49

Therefore, ABAC= ACAC  +  BCAC  =  1+ 94  =  134

ACAB= 413. So,AC=AB × 413 = 413×26 = 8 cm

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