Question

Знайти кути трикутника, якщо іхні градусні міри відносятся 2:3:7,

Answer 1

Сумма кутів трикутника 180.
Нехай к - коефіцієнт пропорційності.
2к+3к+7к=180
12к=180
к=15
15*2=30
15*3=45
15*7=105
Відповідь: 30; 45; 105.

Answer 2

Finding the Angles of a Triangle

To find the angles of a triangle when their degree measures are in the ratio 2:3:7, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's assume that the three angles of the triangle are 2x, 3x, and 7x, where x is a constant. According to the given ratio, the angles are in the ratio 2:3:7.

To find the value of x, we can set up the following equation:

2x + 3x + 7x = 180

Simplifying the equation:

12x = 180

Dividing both sides by 12:

x = 15

Now that we have the value of x, we can find the angles of the triangle:

Angle 1: 2x = 2 * 15 = 30 degrees Angle 2: 3x = 3 * 15 = 45 degrees Angle 3: 7x = 7 * 15 = 105 degrees

Therefore, the angles of the triangle are 30 degrees, 45 degrees, and 105 degrees.

Note: The search results did not provide specific information about finding the angles of a triangle with a given ratio. However, the method described above is a standard approach to solving this type of problem.