The angles in the triangle are in the ratio 1:2:3. The measures of the angles are 30 degrees, 60 degrees, and 90 degrees. The triangle is classified as a right triangle.
The angles in a triangle are in the ratio 1:2:3. To find the measure of all the angles, we need to know the total sum of the angles in a triangle. Since the sum of angles in a triangle is always 180 degrees, we can set up the equation: x + 2x + 3x = 180, where x represents the common ratio.
Simplifying the equation, we get: 6x = 180. Dividing both sides by 6, we find x = 30. Substituting x back into the ratio, we find the angles are: 30 degrees, 60 degrees, and 90 degrees.
Based on the measure of the angles, we can classify the triangle as a right triangle because it has one angle that measures 90 degrees.