Question

Знайти сторони рівнобедреного трикутника, якщо його периметр дорівнює 84 см, а основа в три ращи менша від бічної сторони

Answer 1

Так как периметр равен 84, боковые стороны треугольника равны, а основание в 3 раза меньше боковой стороны, то уравнение для нахождения периметра будет выглядеть так
84 = x + 3x + 3x, где x - основание
отсюда
84 = 7x
x = 12, значит основание равно 12
Теперь найдём одну из боковых сторон
12*3=36
Значит боковая сторона = 36

Answer 2

Finding the sides of an isosceles triangle with a given perimeter and a base three times smaller than the side

To find the sides of an isosceles triangle when the perimeter is 84 cm and the base is three times smaller than the side, we can use the following steps:

1. Let's assume that the length of the base of the triangle is x cm. 2. Since the base is three times smaller than the side, the length of one of the equal sides can be expressed as 3x cm. 3. The perimeter of the triangle is the sum of all three sides, so we can write the equation: x + 3x + 3x = 84 cm. 4. Simplifying the equation, we get: 7x = 84 cm. 5. Dividing both sides of the equation by 7, we find: x = 12 cm. 6. Now we can calculate the length of the equal sides: 3x = 3 * 12 cm = 36 cm.

Therefore, the sides of the isosceles triangle are 12 cm, 36 cm, and 36 cm.

Note: The lengths of the sides of an isosceles triangle can vary depending on the given information. In this case, we assumed that the base is three times smaller than the side. If the given information changes, the lengths of the sides will also change accordingly.