In a triangle, one side is 2 times larger than the other and 1 cm less than the third. find the sides of the

In a triangle, one side is 2 times larger than the other and 1 cm less than the third. find the sides of the triangle if its perimeter is 36cm.

1. Let the first side of the triangle have a length equal to x cm.

2. Since the first side is 2 times larger than the second side, therefore the second side is x / 2 cm long.

3. Since the first side of the triangle is 1 cm less than the third side, then the third side has a length equal to (x + 1) cm.

4. Let’s make an equation and find out what the first side of the triangle is equal to if it is known that its perimeter is 36 cm.

x + x / 2 + (x + 1) = 36;

x + x / 2 + x + 1 = 36;

2x + x / 2 = 36 – 1;

2x + x / 2 = 35;

4x + x = 70;

5x = 70;

x = 70/5;

x = 14 cm.

5. Find out the length of the second side.

14/2 = 7 cm.

6. Find the length of the third side.

14 + 1 = 15 cm.

Answer: The first side is 14 cm, the second 7 cm, the third 15 cm.