Question

Периметр треугольника равен 48,8 см. Длина первой стороны составляет 84 % от длины второй стороны,а длина третьей стороны составляет 5/7 длины первой стороны.Найти длину каждой стороны треугольника. Решите пожалуйста!!

Answer 1

Пусть вторая сторона равна х см, тогда первая равна 0,84х см, а третья - 5/7·0,84х = 0,6х. Зная, что периметр треугольника равен 48,8 см, составляем уравнение:

х+0,84х+0,6х=48,8
2,44х=48,8
х=20
20 см длина второй стороны.
0,84·20=16,8 (см) - длина первой стороны.
0,6·20=12 (см) - длина третьей стороны.
Ответ. 16,8 см, 20 см, 12 см.

Answer 2

Problem Analysis

We are given the perimeter of a triangle, which is 48.8 cm. We are also given the relationship between the lengths of the sides of the triangle. The length of the first side is 84% of the length of the second side, and the length of the third side is 5/7 of the length of the first side. We need to find the length of each side of the triangle.

Solution

Let's assume the length of the second side is x cm. Then the length of the first side is 84% of x, which is 0.84x cm. The length of the third side is 5/7 of the length of the first side, which is (5/7) * 0.84x cm.

According to the perimeter formula for a triangle, the sum of the lengths of all three sides is equal to the perimeter. Therefore, we can write the equation:

0.84x + x + (5/7) * 0.84x = 48.8

Simplifying the equation, we get:

2.68x = 48.8

Dividing both sides of the equation by 2.68, we find:

x = 18.209

Now that we have the value of x, we can find the lengths of the other sides of the triangle.

The length of the first side is 0.84x, which is 0.84 * 18.209 = 15.307 cm.

The length of the third side is (5/7) * 0.84x, which is (5/7) * 0.84 * 18.209 = 13.102 cm.

Therefore, the lengths of the sides of the triangle are approximately: - First side: 15.307 cm - Second side: 18.209 cm - Third side: 13.102 cm

Please note that these values are approximate due to rounding.

Answer

The lengths of the sides of the triangle are approximately: - First side: 15.307 cm - Second side: 18.209 cm - Third side: 13.102 cm