
Периметр равнобедренного треугольника 54см его основание 24см найдите боковые стороны


Ответы на вопрос

обе стороны по 15 см



Ответ:15 см



Perimeter of an Isosceles Triangle
To find the lengths of the two equal sides of an isosceles triangle, we can use the formula for the perimeter of a triangle. The perimeter of a triangle is the sum of the lengths of all its sides.
Given that the perimeter of the isosceles triangle is 54 cm and its base is 24 cm, we need to find the lengths of the two equal sides.
Let's denote the length of each equal side as x.
The formula for the perimeter of a triangle is:
Perimeter = Length of Side 1 + Length of Side 2 + Length of Side 3
In this case, the triangle has two equal sides and a base. So, the formula becomes:
Perimeter = 2 * Length of Equal Side + Length of Base
Substituting the given values into the formula, we have:
54 cm = 2x + 24 cm
To find the value of x, we can solve this equation.
Let's solve it step by step:
1. Subtract 24 cm from both sides of the equation: 54 cm - 24 cm = 2x 30 cm = 2x
2. Divide both sides of the equation by 2: 30 cm / 2 = 2x / 2 15 cm = x
Therefore, the length of each equal side of the isosceles triangle is 15 cm.
To summarize: - The length of the base of the isosceles triangle is 24 cm. - The length of each equal side of the isosceles triangle is 15 cm.
Please let me know if there's anything else I can help you with!


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