Question

Периметр треугольника равен 40 см. Первая его сторона в 2 раза меньше второй, а вторая на 7см меньше третьей. Найдите длину наибольшей стороны треугольника в сантиметрах."Напишите полностью как делать,а не просто ответ плз:) "

Answer 1

Х\2-первая сторона
х-вторая сторона
х+7-третья сторона.
х\2+х+х+7=40
2.5х=40-7
2.5х=33
х=33:2.5
х=13.2-вторая сторона
х\2=13.2:2=6.6-первая.
х+7=13.2+7=20.2

Answer 2

Пусть первая сторона х тогда вторая сторона 2х а третья 2х+7 и все это 40 см.
составим уравнение:
х+2х+2х+7=40
5х=33
х=6,6 см
а наибольшая 6,6*2+7=20,2

Answer 3

Finding the Length of the Longest Side of a Triangle

To find the length of the longest side of a triangle, we need to analyze the given information about the triangle's perimeter and the relationships between its sides.

Let's break down the information provided:

- The perimeter of the triangle is 40 cm. - The first side of the triangle is 2 times smaller than the second side. - The second side of the triangle is 7 cm smaller than the third side.

To solve this problem, we can assign variables to the lengths of the sides of the triangle. Let's call the first side "a," the second side "b," and the third side "c."

Based on the given information, we can write the following equations:

1. The perimeter equation: a + b + c = 40 cm.2. The relationship between the first and second sides: a = (1/2) * b. 3. The relationship between the second and third sides: b = c - 7 cm.

Now, let's solve these equations step by step to find the length of the longest side (c).

Solving the Equations

Step 1: Substitute the relationship between the first and second sides into the perimeter equation:

(1/2) * b + b + c = 40 cm.

Simplifying this equation, we get:

(3/2) * b + c = 40 cm.

Step 2: Substitute the relationship between the second and third sides into the equation obtained in Step 1:

(3/2) * (c - 7 cm) + c = 40 cm.

Simplifying this equation further:

(3/2) * c - (21/2) cm + c = 40 cm.

Combining like terms:

(5/2) * c - (21/2) cm = 40 cm.

Step 3: Move the constant term to the other side of the equation:

(5/2) * c = 40 cm + (21/2) cm.

Simplifying the right side:

(5/2) * c = 80 cm.

Step 4: Solve for c by dividing both sides of the equation by (5/2):

c = (80 cm) / (5/2).

Simplifying the right side:

c = (80 cm) * (2/5).

c = 32 cm.

Answer

Therefore, the length of the longest side of the triangle is 32 cm.

Please let me know if you need any further assistance!