In the ABC triangle, the AB side is 2 times larger than the BC side and 3 cm less than the AC side.

In the ABC triangle, the AB side is 2 times larger than the BC side and 3 cm less than the AC side. Find the length of the side of the AC if the perimeter of the triangle ABC is 23 cm.

1. Take for x (centimeters the length of the side AB.

2. The length of the side of the aircraft is 2x (centimeters).

3. The length of the side of the speaker is (x + 3) centimeters.

4. Let’s make an equation, taking into account that the total length of all sides of the triangle is 23 centimeters:

x + 2x + (x + 3) = 23;

4x = 20;

x = 5 centimeters – the length of the side AB.

BC side length = 5 x 2 = 10 centimeters.

AC side length = 5 + 3 = 8 centimeters.

Answer: The length of the side of the speaker is 8 centimeters.