Point c belongs to the segment ab, the length of which is 15 cm and AC \ BC = 0.875 Find AC and BC.

Since point C belongs to the segment AB, the equality AC + BC = AB is true.

It is known that AC / BC = 0.875. Let us express AC.

AC = 0.875 * BC = 0.875BC.

Let’s substitute the resulting expression in our equality.

AC + BC = 0.875BC + BC = 1.875BC = AB.

By the condition of the problem, AB = 15.

Hence, 1.875BC = 15.

Let’s find the aircraft.

BC = 15: 1.875 = 8.

AC = AB – BC = 15 – 8 = 7.

Answer: AC and BC are equal to 7 and 8, respectively.