Question

Углы треугольника находятся в соотношении 2:3:4. Найти эти углы.Ребятки, срочно.​

Answer 1

Ответ:

т.к. сумма углов треугольника равна 180, значит

2х+3х+4х=180

9х=180

х=180:9

х=20

2) 20×2=40(первый угол)

3) 20×3=60(второй угол)

4)20×4=80(третий угол)

Ответ: 40, 60, 80

Answer 2

Finding the Angles of a Triangle

To find the angles of a triangle when they are in the ratio of 2:3:4, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's denote the angles as 2x, 3x, and 4x, where x is a constant. Since the ratio of the angles is 2:3:4, we can write the equation:

2x + 3x + 4x = 180

Simplifying the equation, we get:

9x = 180

Dividing both sides by 9, we find:

x = 20

Now we can substitute the value of x back into the equation to find the angles:

Angle 1: 2x = 2 * 20 = 40 degrees Angle 2: 3x = 3 * 20 = 60 degrees Angle 3: 4x = 4 * 20 = 80 degrees

Therefore, the angles of the triangle are 40 degrees, 60 degrees, and 80 degrees.

Note: The above solution is based on mathematical calculations and does not require external sources for verification.

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