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# Revision 384839 of Proving the Pythagorean theorem

• Revision slug: Web/MathML/Examples/MathML_Pythagorean_Theorem
• Revision title: MathML Pythagorean Theorem
• Revision id: 384839
• Created:
• Creator: fscholz
• Is current revision? No
• Comment MathML/Examples/MathML_Pythagorean_Theorem Web/MathML/Examples/MathML_Pythagorean_Theorem
Tags:

## Revision Source

```<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>
[/itex]```