The angles of a triangle are proportional to the numbers 1,2 and 3. What is a triangle?

Let us denote by a a third of the magnitude of the largest angle of this triangle.

Then this largest angle should be 3a degrees.

In the initial data for this task, it is reported that the values ​​of the angles of this geometric figure are related to one to two to three, therefore, the values ​​of the other two angles of this triangle should be a and 2a degrees.

Since the sum of the values ​​of all 3 angles of a triangle is always 180 °, we can draw up the following equation:

a + 2a + 3a = 180,

solving which, we get:

6a = 180;

a = 180/6 = 30.

We find the value of the largest angle of this triangle:

3a = 3 * 30 = 90 °.

Therefore, this triangle is rectangular.

Answer: This triangle is rectangular.



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