The perimeter of a triangle is 85, and one of its sides is 2 times smaller than

The perimeter of a triangle is 85, and one of its sides is 2 times smaller than the other and 5 times smaller than the third. Find the largest side of the triangle.

To find a solution to the problem, we will compose and solve the equation.

It is known from the condition that the perimeter of the triangle is 85, and one of its sides is 2 times less than the other and 5 less than the third.

We denote one of the sides as x, then the second can be written as 2x, then the third is x + 5 and using the formula for finding the perimeter of the triangle, we get the equation:

P = a + b + c;

x + 2x + (x + 5) = 85;

x + 2x + x + 5 = 85;

4x = 85 – 5;

4x = 80;

x = 20 is the smaller side, 2 * 20 = 40 is the large side, and 20 + 5 = 25 is the third side.

Answer: 40.