Question

у трикутнику друга сторона на 1 см коротша ніж збільшена на 60% перші, а третя сторона на 3 см довша, ніж збільшена на 40% перша. Вирази периметр трикутника через першу сторону. знайди сторони трикутника, якщо його периметр доповнює 22 см. ПОМОГИТЕ ПОЖАЛУЙСТА​

Answer 1

Ответ:

4.5; 8.2; 9.3

Объяснение:

Нехай x -перша сторона. Тоді

2-га сторона буде  x+ 0.6x + 1см  

30-тя сторона буде  x+ 0.4x + 3см

Тоді периметр складе:  

x+ x+ 0.6x + 1 + x+ 0.4x + 3 = 4x + 4 = 22;  4x= 18; x=4.5.

Тоді

1-ша сторона = 4.5 см;

2-га сторона = 4.5+ 2.7 + 1 = 8.2 (см.)

3-тя сторона = 4.5 + 1.8 + 3 = 9.3 (см.)

Answer 2

To solve this problem, let's break it down step by step.

Given Information:

- The second side of the triangle is 1 cm shorter than the first side increased by 60%. - The third side of the triangle is 3 cm longer than the first side increased by 40%. - The perimeter of the triangle is 22 cm.

Step 1: Express the perimeter of the triangle in terms of the first side.

Let's assume the first side of the triangle is represented by the variable 'x'.

- The second side is 1 cm shorter than the first side increased by 60%: (x + 0.6x) - 1. - The third side is 3 cm longer than the first side increased by 40%: (x + 0.4x) + 3.

The perimeter of the triangle is the sum of all three sides: Perimeter = First side + Second side + Third side

So, the perimeter of the triangle can be expressed as: Perimeter = x + (x + 0.6x) - 1 + (x + 0.4x) + 3

Step 2: Solve for the first side.

Now, let's solve the equation for the first side (x) using the given perimeter of 22 cm.

Perimeter = 22 cm

Substituting the values into the equation: x + (x + 0.6x) - 1 + (x + 0.4x) + 3 = 22

Simplifying the equation: 3.6x + 2 = 22

Subtracting 2 from both sides: 3.6x = 20

Dividing both sides by 3.6: x = 20 / 3.6

Calculating the value of x: x ≈ 5.56 cm

Step 3: Find the lengths of the other two sides.

Now that we have the value of the first side (x), we can find the lengths of the other two sides.

- The second side is 1 cm shorter than the first side increased by 60%: Second side = (x + 0.6x) - 1

Substituting the value of x: Second side ≈ (5.56 + 0.6 * 5.56) - 1

Calculating the value of the second side: Second side ≈ 8.89 cm

- The third side is 3 cm longer than the first side increased by 40%: Third side = (x + 0.4x) + 3

Substituting the value of x: Third side ≈ (5.56 + 0.4 * 5.56) + 3

Calculating the value of the third side: Third side ≈ 10.22 cm

Therefore, the lengths of the sides of the triangle are approximately: First side ≈ 5.56 cm Second side ≈ 8.89 cm Third side ≈ 10.22 cm

I hope this helps! Let me know if you have any further questions.