Question

Периметр треугольника равен 166 см.Одна из его сторон в 5 раз больше второй,которая на 68 см меньше третьей.Вычислите длины сторон треугольника . с помощью уравнения. напишите ещё краткую запись

Answer 1

Пусть Хсм-вторая сторона,тогда 5х - первая,а х+68 - третья
х+х+5х+68=166
7х=98
х=14cм
5*14=70см вторая
14+68=82см третья

Answer 2

Perimeter of a Triangle

To find the lengths of the sides of a triangle given its perimeter, we can set up an equation based on the information provided.

Let's denote the lengths of the three sides of the triangle as x, y, and z.

According to the given information: - One side of the triangle is 5 times larger than the second side. - The second side is 68 cm smaller than the third side.

Based on these conditions, we can set up the following equations:

1. x = 5y (Equation 1) 2. y = z - 68 (Equation 2)

The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is given as 166 cm. So we can write:

3. x + y + z = 166 (Equation 3)

Now, let's solve these equations to find the lengths of the sides of the triangle.

Substituting Equation 1 and Equation 2 into Equation 3, we get:

5y + (z - 68) + z = 166

Simplifying the equation:

6y + 2z = 234 (Equation 4)

Now, we have two equations to work with: - Equation 1: x = 5y - Equation 4: 6y + 2z = 234

We can solve this system of equations to find the values of x, y, and z.

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