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Question

Can you draw a unique triangle with any 3 possible measurements of sides or angles?


A

Yes

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B

With 3 angles, Yes; With 3 sides, No

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C

With 3 sides, Yes; With 3 angles, No

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D

No, not possible

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Solution

The correct option is C

With 3 sides, Yes; With 3 angles, No


Measurement of all the sides or 2 angles and 1 side or 1 angle and 2 sides are required to construct a unique triangle. Using 3 angles, we can construct many triangles, not a unique triangle. For e.g. there are infinite equilateral triangles though they have all the angles equal to 60.


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