Question

Периметр треугольника равен 39 см. Найдите стороны треугольника, если одна сторона на 3 см меньше, а другая на 3 см больше третьей стороны. ПОМОГИТЕ ПРОШУ. МНЕ СРОЧНО НУЖНО

Answer 1

Периметр:
Р= а+ b +c  = 39  см
По условию:
а = (с -3 ) см
b = (c+3) см
Подставим в формулу периметра:
с- 3 +с + 3 +с  = 39
3с = 39
с= 39 : 3
с= 13 (см)   третья сторона
а= 13-3= 10 (см)  первая сторона
b= 13+3 =  16 (см) вторая сторона

Answer 2

Perimeter of a Triangle

To find the sides of a triangle when one side is 3 cm smaller and another side is 3 cm larger than the third side, we can use the formula for the perimeter of a triangle.

Let's assume the length of the third side is x cm. According to the given information, one side is 3 cm smaller, so its length is x - 3 cm. The other side is 3 cm larger, so its length is x + 3 cm.

The perimeter of a triangle is the sum of the lengths of all three sides. In this case, it is equal to 39 cm. Therefore, we can write the equation:

x + (x - 3) + (x + 3) = 39

Simplifying the equation:

3x = 39

x = 13

So, the length of the third side (x) is 13 cm. The length of the first side is x - 3 = 13 - 3 = 10 cm, and the length of the second side is x + 3 = 13 + 3 = 16 cm.

Therefore, the sides of the triangle are 10 cm, 13 cm, and 16 cm.