One side of the triangle is 0.8 cm larger than the other and 1.6 cm smaller than the third.

One side of the triangle is 0.8 cm larger than the other and 1.6 cm smaller than the third. Find the perimeter of the triangle, the smaller side of which is 3.7 cm.

Let one side of the triangle be x cm.

Then the second side is 0.8 cm shorter than the first, and its length is:

(x – 0.8) cm.

The third side is 1.6 cm longer than the first and is:

(x + 1.6) cm.

The length of the smaller side is 3.7 cm, we compose and solve the equation:

x – 0.8 = 3.7,

x = 4.5 cm,

x + 1.6 = 4.5 + 1.6 = 6.1 cm.

Let’s calculate the perimeter of the triangle, for this we add the lengths of all its sides:

3.7 + 4.5 + 6.1 = 14.3 cm.

Answer: The perimeter of the triangle is 14.3 cm.