The perimeter of a triangle is 20.4 cm find the lengths of all sides of the triangle if it is known that one of them

The perimeter of a triangle is 20.4 cm find the lengths of all sides of the triangle if it is known that one of them is 0.4 cm larger than the other side and 0.4 cm less than thirds

We denote the shortest side of the triangle by the letter x, then by the problem statement, the length of the middle side will be

x + 0.4, the length of the longest side is x + 0.8.

We draw up an equation, since the perimeter is the sum of the lengths of all sides, we get:

x + x +0.4 + x + 0.8 = 20.4.

3x = 20.4 – 1.2.

3x = 19.2.

x = 6.4 cm.

Answer: The lengths of the sides are equal: 6.4 cm, 6.8 cm and 7.2 cm, respectively.