#TITLE_ALTERNATIVE#
Let triangle ABC be any triangle and AB=c,AC=b,BC=a . If the triangle satisfies the relation a(n)+b(n)=c(n),n is part of reactangle, then from the Pythagorean Theorem we know that the triangle is a right triangle if n = 2 . In this thesis, we investigate whether the triangle is an acute, obtuse, or...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/9392 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Let triangle ABC be any triangle and AB=c,AC=b,BC=a . If the triangle satisfies the relation a(n)+b(n)=c(n),n is part of reactangle, then from the Pythagorean Theorem we know that the triangle is a right triangle if n = 2 . In this thesis, we investigate whether the triangle is an acute, obtuse, or a right triangle, based on the value of n. In fact, for 0<n<1, there is no triangle that satisfies the above equation. Since every triangle is similar to a triangle with c =1, it suffices to investigate the triangle with the condition c =1. We prove that: <br />
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1. if n > 2 , then triangle ABC is an acute triangle, <br />
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2. if 1< n <2, then triangle ABC is an obtuse triangle, and <br />
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3. if n < 0 , then the angle C is acute, however the triangle itself can be right, obtuse or acute. |
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