The sum of the lengths of the two sides of the triangle is 37 cm, and the first of them is 5 cm longer than the second

The sum of the lengths of the two sides of the triangle is 37 cm, and the first of them is 5 cm longer than the second. Determine the length of the third side if it is known that it is 2 times the length of the second side.

The smallest of the two sides is the second, let’s designate it as x cm, then the first side (x + 5) cm. The sum of the two sides is 37 cm, we make the equation:
x + x + 5 = 37;
2x = 37 – 5;
2x = 32;
x = 32: 2;
x = 16.
This means that the length of the second side is 16 cm, the length of the first side is 16 + 5 = 21 cm.
Let’s find the length of the third side 21 * 2 = 42 cm.
Answer: 42 cm.