# One side of the triangle is 8 1/5 cm, the second is 1 4/5 cm less than the first, and the sum of these sides is 3 4/5 cm

January 16, 2021 | education

| **One side of the triangle is 8 1/5 cm, the second is 1 4/5 cm less than the first, and the sum of these sides is 3 4/5 cm more than the third side. What is the perimeter of a triangle?**

1. Let’s denote the sides of the triangle by a, b and c.

2. By the condition of the problem, the first side is a = 8 1/5 cm.

3. The second side is 1 4/5 cm smaller than the first. I.e,

b = 8 1/5 – 1 4/5 = 41/5 – 9/5 = 32/5 = 6 2/5 cm.

4. The sum of the first and second sides of the triangle a + b = 8 1/5 + 6 2/5 = 14 3/5 cm.

5. The third side is 3 4 \ 5 cm less than the sum of the first two. That is, c = 14 3/5 – 3 4/5 = 10 4/5 cm.

6. The perimeter of the triangle a + b + c = 14 3/5 + 10 4/5 = 25 2/5 cm.

Answer: The perimeter of the triangle is 25 2/5 cm or 25.4 cm.