0000005824 00000 n Page 2 B. Proof Pythagorean Theorem Pythagorean theorem is a well-known geometric theorem where the sum of the squares of two sides of a right angle is equal to the square of the hypotenuse. James Garfield’s Proof of the Pythagorean Theorem S. F. Ellermeyer College Trigonometry (MATH 1112) Kennesaw State University The Pythagorean Theorem states that for any right triangle with sides of length a and b and hypotenuse of length c,itistruethata2 b2 c2. - “Pythagoras Meets Van Hiele” by Alfinio Flores - This article gives examples of Pythagorean explorations at each level of the Van Hiele, showing that your teaching of the theorem can be adapted to the level of the students. 0000061441 00000 n The Pythagorean theorem and related concepts would not be reiterated in classrooms if … Proof #30. ���m��LRX���!&� �Z:���VtM�����v� h��;�z�LO���V=ɔ���0x�rg��� Mo_ˈ2 Y3Ѩ�c���DaK��@� 0000023927 00000 n 0000039285 00000 n 0000039264 00000 n Download Full PDF Package. ������8����rCt��"�9A��h8�4lgtb��`�������� �@���a��y;�&�7�7��@�]��1��D �0 �LkV endstream endobj 79 0 obj 308 endobj 45 0 obj << /Type /Page /Parent 40 0 R /Resources 46 0 R /Contents 54 0 R /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Rotate 0 >> endobj 46 0 obj << /ProcSet [ /PDF /Text ] /Font << /TT2 51 0 R /TT4 49 0 R /TT6 47 0 R /TT8 55 0 R /TT9 56 0 R /TT10 60 0 R /TT11 61 0 R >> /ExtGState << /GS1 70 0 R >> /ColorSpace << /Cs6 53 0 R >> >> endobj 47 0 obj << /Type /Font /Subtype /TrueType /FirstChar 65 /LastChar 121 /Widths [ 611 611 667 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 500 444 0 0 0 0 500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 444 444 ] /Encoding /WinAnsiEncoding /BaseFont /AOMKOD+TimesNewRoman,Italic /FontDescriptor 50 0 R >> endobj 48 0 obj << /Type /FontDescriptor /Ascent 905 /CapHeight 718 /Descent -211 /Flags 32 /FontBBox [ -665 -325 2000 1006 ] /FontName /AOMKOB+Arial /ItalicAngle 0 /StemV 94 /XHeight 515 /FontFile2 65 0 R >> endobj 49 0 obj << /Type /Font /Subtype /TrueType /FirstChar 40 /LastChar 150 /Widths [ 333 333 0 0 278 0 278 0 556 556 556 556 556 0 556 556 556 0 278 0 0 0 0 0 0 667 667 722 722 667 611 778 722 278 500 667 556 833 722 0 667 0 722 667 611 722 0 944 0 0 0 0 0 0 0 0 0 556 556 500 556 556 278 556 556 222 0 500 222 833 556 556 556 556 333 500 278 556 500 722 500 500 500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 222 0 0 0 556 ] /Encoding /WinAnsiEncoding /BaseFont /AOMKOB+Arial /FontDescriptor 48 0 R >> endobj 50 0 obj << /Type /FontDescriptor /Ascent 891 /CapHeight 0 /Descent -216 /Flags 98 /FontBBox [ -498 -307 1120 1023 ] /FontName /AOMKOD+TimesNewRoman,Italic /ItalicAngle -15 /StemV 0 /XHeight 0 /FontFile2 64 0 R >> endobj 51 0 obj << /Type /Font /Subtype /TrueType /FirstChar 46 /LastChar 146 /Widths [ 278 0 0 556 556 0 0 0 0 0 0 0 333 0 0 0 0 0 0 0 0 0 0 0 611 778 0 0 556 0 0 0 722 0 667 0 0 0 611 0 0 0 0 0 0 0 0 0 0 0 0 556 0 556 611 556 333 611 611 278 0 0 278 889 611 611 0 0 389 556 333 0 0 0 0 556 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 278 ] /Encoding /WinAnsiEncoding /BaseFont /AOMKMP+Arial,Bold /FontDescriptor 52 0 R >> endobj 52 0 obj << /Type /FontDescriptor /Ascent 905 /CapHeight 718 /Descent -211 /Flags 32 /FontBBox [ -628 -376 2000 1010 ] /FontName /AOMKMP+Arial,Bold /ItalicAngle 0 /StemV 133 /FontFile2 63 0 R >> endobj 53 0 obj [ /ICCBased 71 0 R ] endobj 54 0 obj << /Length 1784 /Filter /FlateDecode >> stream A simple equation, Pythagorean Theorem states that the square of the hypotenuse (the side opposite to the right angle triangle) is equal to the sum of the other two sides.Following is how the Pythagorean equation is written: a²+b²=c². Pythag Intro + Proof -TOTD.pdf. - Pythagorean theorem is probably the most universally addressed theorem in geometry - Yet, students cannot apply it and probably do not understand it well. ACTIVITY 3.1.2 Bronowski's Proof, continued 5. a² + b² = c² There are several methods … 0000002617 00000 n 0000025795 00000 n Additional insight into the Pythagorean Theorem, or Pythagoras ' Theorem named as Perpendicular, Base and hypotenuse using! Number _____ this is because ACTIVITY 3.1.1 Bronowski 's proof of the Theorem,... Standards related to Pythagorean Theorem Al-Khaled from Jordan University of Science and technology = c² (... Practice, partner activities, centers, or Pythagoras ' Theorem, introductory and... And was originally published in Mathematics Magazine, Dec 1999 ) very successful with.! The angles of any size ), Base and hypotenuse the angles of any triangle true using statements! 'S sequel Proofs Without Words II 90 at CICS Longwood certainty needs a separate proof shown,! In R. 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