Question

Одна сторона треугольника в 2 раза больше второй стороны, а вторая на семь дм меньше третей найдите стороны треугольника, если его периметр равен 99 дм. Помогите пожалуйста и напишите решение за ранее спасибо!

Answer 1

Ответ:

Пошаговое объяснение:

х+х+7+2х=99

4х+7=99

х=23

Это одна сторона которая равняется иксу, остальные осторожны находишь тем что добавляешь к иксу семь дюймов а последняя сторона икс помножить на 2

Answer 2

Problem Analysis

We are given that one side of a triangle is twice as long as the second side, and the second side is 7 dm shorter than the third side. We need to find the lengths of the sides of the triangle if its perimeter is 99 dm.

Solution

Let's assume the lengths of the sides of the triangle are a, b, and c.

According to the given information: - One side of the triangle is twice as long as the second side: a = 2b. - The second side is 7 dm shorter than the third side: b = c - 7.

The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is given as 99 dm: a + b + c = 99.

We can substitute the values of a and b from the first two equations into the third equation to solve for c.

Substituting a = 2b and b = c - 7 into a + b + c = 99: (2b) + (c - 7) + c = 99

Simplifying the equation: 2b + 2c - 7 = 99

Combining like terms: 2b + 2c = 106

Dividing both sides of the equation by 2: b + c = 53

Now we have a system of two equations: 1. a = 2b 2. b + c = 53

We can solve this system of equations to find the values of a, b, and c.

Let's solve equation 2 for b: b = 53 - c

Substituting this value of b into equation 1: a = 2(53 - c)

Now we have an equation for a in terms of c.

To find the values of a, b, and c, we need to substitute the equation for a into the equation for the perimeter and solve for c.

Substituting a = 2(53 - c), b = 53 - c, and c into a + b + c = 99: 2(53 - c) + (53 - c) + c = 99

Simplifying the equation: 106 - 2c + 53 - c + c = 99

Combining like terms: 159 - 2c = 99

Subtracting 159 from both sides of the equation: -2c = -60

Dividing both sides of the equation by -2: c = 30

Now that we have the value of c, we can substitute it back into the equation b = 53 - c to find the value of b: b = 53 - 30 = 23

Finally, we can substitute the values of b and c into the equation a = 2b to find the value of a: a = 2(23) = 46

Therefore, the lengths of the sides of the triangle are a = 46 dm, b = 23 dm, and c = 30 dm.

Answer

The lengths of the sides of the triangle are 46 dm, 23 dm, and 30 dm.