The base of an isosceles triangle ABC is 4 cm less than the lateral side

The base of an isosceles triangle ABC is 4 cm less than the lateral side and the perimeter of triangle ABC is 47 cm. Find the length of the base of the triangle

An isosceles triangle is a triangle whose two sides are equal. These equal sides are called sides, and the third side is called base.

Let the side of the triangle be x cm, then the base of the triangle is (x – 4) cm.By the condition of the problem, it is known that the perimeter of a triangle (the perimeter is the sum of all three sides of the triangle) is (x + x + (x – 4)) cm or 47 cm. Let’s make an equation and solve it.

x + x + (x – 4) = 47;

x + x + x – 4 = 47;

3x – 4 = 47;

3x = 47 + 4;

3x = 51;

x = 51: 3;

x = 17 (cm) – side;

x – 4 = 17 – 4 = 13 (cm) – base.

Answer. 13 centimeters.