The perimeter of a triangle is 20 cm, its two sides are equal, and the third is 2 cm

The perimeter of a triangle is 20 cm, its two sides are equal, and the third is 2 cm larger than each of the equal sides. What is the large side?

Let the first side of the triangle be equal to the second and equal to x. Since the third side is 2 cm larger than each of the equal sides, it is equal to x + 2. The perimeter of the triangle is 20 cm, therefore: x + x + 2 + x = 20, 3x + 2 = 20, 3x = 18, x = 6 cm.The third side of the triangle is larger than the first and second and is equal to: 2 + 6 = 8 cm.