State whether the statement are True or False.It is possible to have – InterviewSolution

InterviewSolution

1.

State whether the statement are True or False.It is possible to have a triangle in which two of the angles are obtuse.

Answer»

False

Let two angles x and y of a triangle are obtuse.

Then x > 90° ………..(i)

and y > 90° …………. (ii)

From (i) and (ii), we have x + y > 180°

But in a triangle sum of all angles can not be greater than 180° .

∴ Triangle is not possible.

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