Question

Периметр рiвнобедреного трикутника дорівнює 12 см. Чи може основа цього трикутника дорівнювати: 1) 4 см; 2) 5 см; 3) 6 см; 4) 7 см? ДУЖЕ ТРЕБА, БУДЬ ЛАСКА!!!​

Answer 1

Ответ:

P = 12, отже потрібно пододавати числа, щоб було число 12, так як це трикутник додамо 3 числа. Основа

1) 4 ,Р = 4 +5+3.

2) 5, Р= 5+4+3 ( посуті те саме що 1)

3) 6, Р= 6+3+3

4) 7. Трикутник не побудується, вірніше Р не буде =12 .

тому відповідь 1,2,3.

Answer 2

Perimeter of an Isosceles Triangle

The perimeter of an isosceles triangle is the sum of the lengths of its three sides. In this case, the perimeter of the triangle is given as 12 cm. We need to determine if the base of the triangle can have lengths of 4 cm, 5 cm, 6 cm, or 7 cm.

To solve this, we can use the fact that an isosceles triangle has two equal sides. Let's consider the possible lengths of the base and calculate the lengths of the other two sides using the given perimeter.

1) Base length = 4 cm: Let the length of each equal side be x cm. The perimeter is given as 12 cm, so we have the equation: 4 + x + x = 12 Simplifying the equation, we get: 2x = 8 x = 4 Since x = 4, the lengths of the two equal sides are also 4 cm. Therefore, the base length of 4 cm is possible for this triangle.

2) Base length = 5 cm: Using the same approach as above, we have the equation: 5 + x + x = 12 Simplifying the equation, we get: 2x = 7 x = 3.5 Since x = 3.5, the lengths of the two equal sides are also 3.5 cm. Therefore, the base length of 5 cm is not possible for this triangle.

3) Base length = 6 cm: Using the same approach as above, we have the equation: 6 + x + x = 12 Simplifying the equation, we get: 2x = 6 x = 3 Since x = 3, the lengths of the two equal sides are also 3 cm. Therefore, the base length of 6 cm is possible for this triangle.

4) Base length = 7 cm: Using the same approach as above, we have the equation: 7 + x + x = 12 Simplifying the equation, we get: 2x = 5 x = 2.5 Since x = 2.5, the lengths of the two equal sides are also 2.5 cm. Therefore, the base length of 7 cm is not possible for this triangle.

Based on the calculations, the possible base lengths for the isosceles triangle with a perimeter of 12 cm are 4 cm and 6 cm. The base lengths of 5 cm and 7 cm are not possible for this triangle.