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6. If the angles of a triangle are in the ratio 1:2:3, find the measure of angles of the triangle. what type of a triangle is it |
| Answer» N:_________________________ANSWER:The angles of the triangle are : 30° , 60° , 90°.It is a right angled triangle.TO FIND:The measures of the triangle?What type of triangle is it?GIVEN:Angles of a triangle are in the ratio 1:2:3.SOLUTION:Let the Angles be = X , 2x , 3xFORMULA TO FIND:Sum of angles of the traingle = 180SOLVING BY APPLYING THE FORMULA:x + 2x + 3x = 1806x = 180x = 180/6x = 30Angle 1 = 30 ( x = 30 )ANGLE 2 = 60 ( 30 × 2 = 60 )Angle 3 = 90 ( 30 × 3 = 90 )Hence , The angles of the triangle are : 30° , 60° , 90°It is a right angled triangle._________________________ | |