Question

Периметр равнобедренного треугольника АВС = 54 см. АС в раза меньше АВ и ВС. Найти стороны треугольника АВС.?

Answer 1

10.8, 21.6, 21.6  - стороны треугольника 

Answer 2

Perimeter of an Isosceles Triangle

To find the sides of an isosceles triangle ABC, given that the perimeter is 54 cm and AC is smaller than AB and BC, we can use the following steps:

1. Let's assume that AC is x cm. 2. Since AC is smaller than AB and BC, we can express AB and BC in terms of x. 3. The perimeter of a triangle is the sum of all its sides. In this case, the perimeter is given as 54 cm. 4. We can set up an equation using the given information and solve for the sides of the triangle.

Let's proceed with the calculations:

Let AC = x cm.

Since AC is smaller than AB and BC, we can express AB and BC in terms of x.

Let AB = BC = kx, where k is a constant.

The perimeter of the triangle is the sum of all its sides:

Perimeter = AB + AC + BC

Substituting the values, we get:

54 = kx + x + kx

Simplifying the equation:

54 = 2kx + x

Combining like terms:

54 = (2k + 1)x

To find the value of k, we need more information. Without additional information, we cannot determine the exact values of AB, AC, and BC.

Please provide more information or constraints to solve the problem accurately.