# The side of the triangle, equal to 6.3 cm, is 20.8 cm less than the second side and 0.9 cm more

**The side of the triangle, equal to 6.3 cm, is 20.8 cm less than the second side and 0.9 cm more than the third side. Find the perimeter of the triangle.**

First, let’s find what the lengths of the other two sides of this geometric figure are equal to.

In the initial data for this task, it is reported that the side that has a length of 6.3 centimeters is 20.8 cm less than the 2nd side and 0.9 cm more than the 3rd side, therefore, the 2nd side is 6.3 + 20.8 = 27.1 cm , and the 3rd side is 6.3 – 0.9 = 5.4 cm.

Since it turns out that the sum of the lengths of the first and third sides of this triangle, equal to 6.3 + 5.4 = 11.7, is less than the length of the second side of this triangle, then a triangle with such sides cannot exist.

Answer: a triangle with such sides cannot exist.