In an isosceles triangle, its base is 7 cm larger than the lateral side. Calculate the lengths of the sides

In an isosceles triangle, its base is 7 cm larger than the lateral side. Calculate the lengths of the sides of the triangle if the perimeter is 43 cm.

We will solve the problem using an equation with one unknown.

1). The side of a triangle is x centimeters.

2). The base of the triangle is (x + 7) centimeters.

3). Let’s compose and solve the equation.

x + x + (x + 7) = 43;

2x + x + 7 = 43;

3x = 43 -7;

3x = 36;

x = 36/3 = 12;

x = 12;

4). The side of the triangle is x = 12 centimeters.

5). The base of the triangle is x + 7 = 12 + 7 = 19 centimeters.

Answer: The sides of an isosceles triangle are 12 and 12 centimeters, the base is 19 centimeters.