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6 June, 14:57

The angles in a triangle are in the ratio 1:2:3. Show that the triangle is a right - angled triangle.

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  1. 6 June, 17:05
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    Angles in a triangles add up to 180°

    Respectively 1 : 2 : 3 is going to be 1 x, 2 x and 3 x so,

    1 x + 2 x + 3 x = 180°

    ⇒ Simplify

    6 x = 180°

    ⇒ Divide by 6 on both sides to isolate x

    x = 30°

    Since the ratio was 1 x : 2 x : 3 x and x is 30°,

    30 : 60 : 90

    And since there is a 90° angle, it is a right - angled triangle
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