The perimeter of an isosceles triangle = 15.6 cm. Its base is 3 cm larger than the lateral side, find the sides of the triangle.

From the condition it is known that the perimeter of an isosceles triangle is 15.6 cm, its base is 3 cm larger than the lateral side. In order to find the sides of the triangle, we compose and solve a linear equation with one variable.

In an isosceles triangle, the two sides are equal.

Let’s denote the side of the triangle with the variable x, then the base can be written as (x + 3).

Formula for finding the perimeter:

P = 2a + b;

2 * x + x + 3 = 15.6;

2x + x = 15.6 – 3;

3x = 12.6;

x = 12.6: 3;

x = 4.2 cm the side of the triangle, then 4.2 + 3 = 7.2 cm the base of the triangle.



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