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Question

In a triangle, base is given and 2 adjacent angles are of more than 90 degrees. Is it possible to construct such a triangle?


  1. Only if they are not equal

  2. Never

  3. Only if they are equal

  4. Yes


Solution

The correct option is B

Never


Draw a line AB of a particular length between points A and B.

Let A be a left sided point.

Draw a line of 90 degree angle at point A. It will go vertical.

Similarly, Draw a line of 90 degree angle at point B. It will also go vertical.

Hence, these 2 new lines can never meet. And if these angles are more than 90 degree then also, they can never meet.

Alternatively, triangle property is that the sum of the 3 angles can't be more than 180 degrees. In this problem, sum of 2 angles is more than 180 degree (each being more than 90 degree) and hence exceeds 180 degree. Hence, this triangle is not possible.

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