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Question

Sides of a triangle are 1, 2 and 3. What will be the angles of the triangle?


A

36, 72, 108

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B

30, 75, 90

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C

30, 60, 90

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D

25, 75, 80

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Solution

The correct option is C

30, 60, 90


As we know the ratio of the sides of the sides of a triangle is equal to the ratio of the angles of the triangle.

If the ratio of the sides of ∆ABC,

a:b:c=1:2:3;

so the ratio angles of the triangle will be,

∠A:∠B:∠C=1:2:3;

So let the angles be x, 2x and 3x. So,

x + 2x + 3x =180;

so the respective angle 30, 60 and 90


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