Question

Периметр треугольника равен 70 см. Чему равны его стороны, если их отношение равно 3:5:6?

Answer 1

Пусть 1 часть равна х см.
Тогда 3х + 5х +6х =70
14х=70
х=70:14
х=5
Подставляешь х и находишь сторон
Ответ: 15 см, 25 см, 30 см

Answer 2

3+5+6=14
70:14=5
5*3=15
5*5=25
5*6=30

Answer 3

Perimeter of a Triangle

The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the perimeter of the triangle is given as 70 cm. We are also given that the ratio of the lengths of the sides is 3:5:6.

Let's denote the lengths of the sides as a, b, and c. According to the given ratio, we can express the lengths of the sides as 3x, 5x, and 6x, where x is a common factor.

To find the lengths of the sides, we need to solve the equation:

3x + 5x + 6x = 70

Combining like terms, we get:

14x = 70

Dividing both sides by 14, we find:

x = 5

Now, we can substitute the value of x back into the expressions for the lengths of the sides:

a = 3x = 3 * 5 = 15 cm b = 5x = 5 * 5 = 25 cm c = 6x = 6 * 5 = 30 cm

Therefore, the lengths of the sides of the triangle are 15 cm, 25 cm, and 30 cm.