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Is it possible to have a triangle, in which(i) Two of the angles are right?(ii) Two of the angles are obtuse?(iii) Two of the angles are acute?(iv) Each angle is less than 60°?(v) Each angle is greater than 60°?(vi) Each angle is equal to 60°? |
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Answer» (i) No, because if there are two right angles in a triangle, then the third angle of the triangle must be zero, which is not possible. (ii) No, because as we know that the sum of all three angles of a triangle is always 180°. If there are two obtuse angles, then their sum will be more than 180°, which is not possible in case of a triangle. (iii) Yes, in right triangles and acute triangles, it is possible to have two acute angles. (iv) No, because if each angle is less than 60°, then the sum of all three angles will be less than 180°, which is not possible in case of a triangle. |
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