Point C is marked on the segment AB so that AB: BC = 8: 3. Find the length of the segment BC if AC = 25 cm.

The unknown length of the BC segment is determined using the conditional variable “Y”.

Using the data from this example, we will form the following expression: (25 + Y) / Y = 8/3.

When we count, we will have the following result 3 x (25 + Y) = 8Y or 75 + 3Y = 8Y or 8Y – 3Y = 75 or 5Y = 75 or Y = 75/5 = 15 cm.

Answer: the BC segment is 15 cm long.



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