Question

Can a triangle have one obtuse angle and one right angle? Explain.

Answer 1

Answer: No a triangle cannot have a right angle and an obtuse angle.

Explanation: It would violate the theorem of the sum of the interior angles of a triangle summing up to 180 degrees. We know that sum of all interior angles of a triangle is 180 degrees. If we assume that one angle is right angle of 90 degrees and other angle be obtuse angle of x such that x> 90 degrees. Sum of the 2 angles is then 90+x>180 degrees. It cannot be possible due to equation. Therefore our initial assumption of x>90 degrees is incorrect and so the statement is false by the method of indirect proof.

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Answer 2

no, because the interior angles of A triangle equal 180 degrees. it has to have 3 angles to be a triangle... a right angle is 90 degrees, and an obtuse angle is greater than 90 degrees. which means that you would have a triangle with more than 180 degrees, which we know you can't have.