Mathematics

The angles of a triangle are in the ratio 2: 1: 3. Is the triangle right-angled triangle,


ANSWER

True


SOLUTION
The angles of the triangle are in the ratio, 2:1: 3
Let the angles be $$2x, x and 3x$$
Thus, sum of the angles = 180
$$2x + x+ 3x = 180$$
$$6x = 180$$
$$x = 30$$ 
Hence, the angles will be 30, 60 and 90
Since, one of the angles is 90, the triangle is a right angled triangle.
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