# Point C is the inner point of the segment AB, the length of which is 20 cm. Find the lengths of the segments

December 31, 2020 | education

| **Point C is the inner point of the segment AB, the length of which is 20 cm. Find the lengths of the segments AC and BC, if AC: BC = 9: 11.**

AB = 20 cm.; AC: BC = 9: 11

Let AC = 9x, and BC = 11x, then

AB = AC + BC

20 = 9x + 11x

20 = 20x

x = 1;

since x = 1, then AC = 9 * 1 = 9 cm; BC = 11 * 1 = 11 cm.

Answer: AC = 9 cm; BC = 11 cm.

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