The Mathematical Education (한국수학교육학회지시리즈A:수학교육)
- Volume 41 Issue 2
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- Pages.203-213
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- 2002
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
Several Triangles with the Sides Connecting Sequences
변의 길이가 특별한 수열을 이루는 삼각형
Abstract
In this paper, we introduce the concepts of geometric and arithmetic triangles. Geometric and arithmetic triangles are special types of rational Heron triangles - triangles with rational sides and area. In addition, the theory illustrated in this paper gives certain theorems on the determination of non-right angled geometric and arithmetic triangles. In the meantime, with the help of Mathematica, we compute the sides and area of several triangles(GRT, IGT, RIGT, RAT). Since the material presented in this paper is within the reach of undergraduates, it can attract attention of mathematics students and may also be of interest to the mathematicians. In this content we believe this paper can help undergraduates to have interests in the new world of mathematics.
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