NCERT Class XI Mathematics - Mathematical Reasoning - Solutions
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Question : 25
Total: 25
Write the following statement in five different ways, conveying the same meaning.
p: If a triangle is equiangular, then it is an obtuse angled triangle.
p: If a triangle is equiangular, then it is an obtuse angled triangle.
Solution:
(i) A triangle is equiangular implies that it is an obtuse angled triangle.
(ii) A triangle is equiangular only if it is an obtuse angled triangle.
(iii) For a triangle to be equiangular, it is necessary that it is an obtuse angled triangle.
(iv) For a triangle to be obtuse angled triangle, it is sufficient that the triangle is equiangular.
(v) If a triangle is not obtuse angled triangle, then it is not equiangular.
(ii) A triangle is equiangular only if it is an obtuse angled triangle.
(iii) For a triangle to be equiangular, it is necessary that it is an obtuse angled triangle.
(iv) For a triangle to be obtuse angled triangle, it is sufficient that the triangle is equiangular.
(v) If a triangle is not obtuse angled triangle, then it is not equiangular.
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