The perimeter of triangle ABC is 50 centimeters. Side AB is 2 centimeters larger than side BC, and side AC

The perimeter of triangle ABC is 50 centimeters. Side AB is 2 centimeters larger than side BC, and side AC is 2 times larger than side BC. Find the sides of the triangle.

Let’s denote the side BC for X. Then the side AB is X + 2, and the side AC is 2X.
Perimeter is the sum of all sides.
Let’s make the equation:
X + (X + 2) + 2X = 50
X + X + 2 + 2X = 50
4X = 50-2
4X = 48
X = 12
So BC = 12, AB = 12 + 2 = 14, AC = 12 * 2 = 24



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