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Question

The measures of three angles of a triangle are in the ratio 1:2:3. Then the triangle is


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Solution

Categories the triangle.

Let the three angles of a triangle be x,2x,3x.
Sum of angles of a triangle is 180°
Then,

x+2x+3x=1806x=180x=30
The angles are 30°,2×30°,3×30°=30°,60°,90°

Hence, the triangle is a right-angled triangle.


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