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Are all acute triangles the same? - Answers
Mathematics is a discipline where exactitude is all-important.Whether all acute triangles are 'the same' depends on what you mean by same. Here are some possibilities for 'same', and whether all acute triangles qualify.The triangles are congruent (one fits exactly on top of another) ? No.The triangles are similar (same three angles) ? NoEach of the three angles is less than 900 ? YesSame no of sides ? YesA polygon ? Yes.A plane figure ? Yes.All acute triangles meet the last four criteria; some may meet the first two as well, but not all of them.
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Are all acute triangles the same? - Answers
Mathematics is a discipline where exactitude is all-important.Whether all acute triangles are 'the same' depends on what you mean by same. Here are some possibilities for 'same', and whether all acute triangles qualify.The triangles are congruent (one fits exactly on top of another) ? No.The triangles are similar (same three angles) ? NoEach of the three angles is less than 900 ? YesSame no of sides ? YesA polygon ? Yes.A plane figure ? Yes.All acute triangles meet the last four criteria; some may meet the first two as well, but not all of them.
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Are all acute triangles the same? - Answers
Mathematics is a discipline where exactitude is all-important.Whether all acute triangles are 'the same' depends on what you mean by same. Here are some possibilities for 'same', and whether all acute triangles qualify.The triangles are congruent (one fits exactly on top of another) ? No.The triangles are similar (same three angles) ? NoEach of the three angles is less than 900 ? YesSame no of sides ? YesA polygon ? Yes.A plane figure ? Yes.All acute triangles meet the last four criteria; some may meet the first two as well, but not all of them.
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