InterviewSolution
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InterviewSolution
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Can a triangle have:(i) Two right angles?(ii) Two obtuse angles?(iii) Two acute angles?(iv) All angles more than 60°?(v) All angles less than 60°?(vi) All angles equal to 60°?Justify your answer in each case. |
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Answer» (i) No, Two right angles would up to 180° so the third angle becomes zero. This is not possible. Therefore, the triangle cannot have two right angles. (ii) No, A triangle can’t have two obtuse angles as obtuse angle means more than 90°. So, the sum of the two sides exceeds more than 180° which is not possible. As the sum of all three angles of a triangle is 180°. (iii) Yes, A triangle can have two acute angle as acute angle means less than 90°. (iv) No, Having angles more than 60° make that sum more than 180° which is not possible as the sum of all angles of a triangle is 180°. (v) No, Having all angles less than 60° will make that sum less than 180° which is not possible as the sum of all angles of a triangle is 180°. (vi) Yes, A triangle can have three angles equal to 60° as in this case the sum of all three is equal to 180° which is possible. This type of triangle is known as equilateral triangle. |
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