Revision 399379 of Proving the Pythagorean theorem
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- Revision slug: Web/MathML/Examples/MathML_Pythagorean_Theorem
- Revision title: MathML Pythagorean Theorem
- Revision id: 399379
- Created:
- Creator: Sheppy
- Is current revision? No
- Comment Revert to revision of 2013-04-28 12:43:23 by Elchi3
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<math style="font-size: 16pt; font-family: arial; mspace depth="1ex" height="0.5ex" width="2.5ex" side="left" > <mtable columnalign="left"> <mtr> <mtd> <mrow> <mrow> <mrow> <mrow> <mspace depth="1ex" height="0.5ex" width="2.5ex"/> <msup> <mi>a</mi> <mn>2</mn> </msup> </mrow> <mo> + </mo> <msup> <mi>b</mi> <mn>2</mn> </msup> <mo> = </mo> <msup> <mi>c</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mrow> <mrow> <mspace depth="1ex" height="0.5ex" width="2.5ex"/> <mrow><mtext mathcolor="black" mathsize="12pt"> We can prove the theorem algebraically by showing that the area of the big square equals the area<br /> of the inner square (hypotenuse squared) plus the area of the four triangles: </mtext> </mrow> </mrow> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mrow> <mrow> <mrow> <mspace depth="1ex" height="0.5ex" width="2.5ex"/> <mo>(</mo><mi>a</mi><mo> + </mo> <mi>b</mi><msup><mo>)</mo><mn>2</mn></msup><mo> = </mo> <msup><mi>c</mi><mn>2</mn></msup><mo> + </mo> <mn>4</mn><mo>(</mo><mfrac><mrow><mn>1</mn></mrow> <mn>2</mn></mfrac><mo>)</mo><mi>a</mi> <mi>b</mi> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mrow> <mrow> <mrow> <mspace depth="1ex" height="0.5ex" width="2.5ex"/> <msup><mi>a</mi><mn>2 </mn></msup><mo> + </mo> <mn>2</mn><mi>a</mi><mi>b</mi><mo> + </mo><msup><mi>b</mi><mn>2 </mn></msup> <mo> =</mo> <msup><mi>c</mi><mn>2</mn></msup><mo> + </mo> <mn>2</mn><mi>a</mn><mi>b</mi> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mrow> <mrow> <mrow> <mspace depth="1ex" height="0.5ex" width="2.5ex"/> <msup><mi>a</mi><mn>2 </mn></msup><mo> + </mo> <msup><mi>b</mi><mn>2</mn></msup> <mo> =</mo> <msup><mi>c</mi><mn>2</mn></msup> </mrow> </mrow> </mtd> </mtr> </mtable> </mrow> </math>