Find the sides of an isosceles triangle if its perimeter is 46 cm, and the base is 4 cm larger than the side.

Let the side of the triangle be x, then the base is x + 4. Let’s compose and solve the equation, taking into account that the sides are equal, and the perimeter is the sum of all sides.

x + x + x + 4 = 46;

3x + 4 = 46;

3x = 46 – 4;

3x = 42;

x = 42: 3;

x = 14 (side).

14 + 4 = 18 (base).

Answer: the sides of the triangle are 14 cm, 14 cm and 18 cm.