Question

Периметр равнобедренного треугольника равен 48 см,основание - 15 см.Чему равна боковая сторона этого треугольника?

Answer 1

Perimeter of an Isosceles Triangle

To find the length of the equal sides (also known as the "legs") of an isosceles triangle, we need to know the perimeter and the length of the base. In this case, the perimeter is given as 48 cm and the base length is given as 15 cm.

Let's denote the length of each leg as x. Since the triangle is isosceles, both legs will have the same length.

The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 48 cm, so we can set up the following equation:

x + x + 15 = 48

Simplifying the equation, we have:

2x + 15 = 48

Subtracting 15 from both sides, we get:

2x = 33

Finally, dividing both sides by 2, we find:

x = 16.5

Therefore, the length of each leg (or the "side") of the isosceles triangle is 16.5 cm.

Answer

The length of each side of the isosceles triangle is 16.5 cm.