The perimeter of an isosceles triangle is 28 cm. its base is 2 cm less than the lateral side. find the sides of a triangle?

Formula for the perimeter of an isosceles triangle:

Р = a + a + b = 2a + b, where a is the length of the side, b is the length of the base of the triangle.

Let us express the length of the side side through Z, then the length of the base will look like this: Z – 2. From the data obtained, we compose an equation and solve it:

Z + Z + (Z – 2) = 28;

2Z + (Z – 2) = 28;

2Z + Z – 2 = 28;

3Z – 2 = 28;

3Z = 28 + 2;

3Z = 30;

Z = 30: 3;

Z = 10 cm – side length.

Let’s calculate the length of the base of the triangle:

Z – 2 = 10 – 2 = 8 cm – base length.

Answer: the length of the side is 10 centimeters; base length – 8 centimeters.