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Pythagorean Theorem Proof Using Similar Triangles Mug
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Pythagorean Theorem Proof Using Similar Triangles Mug
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Style: Travel/Commuter Mug
Be in style when you’re on the go with our stainless steel travel/commuter mug. This spill-proof commuter mug has a removable plastic top and looks good adorned with your favorite picture or text. Hand wash only. Imported.
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Pythagorean Theorem Proof Using Similar Triangles
Proof using similar triangles

This proof is based on the proportionality of the sides of two similar triangles, that is, upon the fact that the ratio of any two corresponding sides of similar triangles is the same regardless of the size of the triangles.

Let ABC represent a right triangle, with the right angle located at C, as shown on the figure. We draw the altitude from point C, and call H its intersection with the side AB. Point H divides the length of the hypotenuse c into parts d and e. The new triangle ACH is similar to triangle ABC, because they both have a right angle (by definition of the altitude), and they share the angle at A, meaning that the third angle will be the same in both triangles as well, marked as θ in the figure. By a similar reasoning, the triangle CBH is also similar to ABC. The proof of similarity of the triangles requires the Triangle postulate: the sum of the angles in a triangle is two right angles, and is equivalent to the parallel postulate.

http://en.wikipedia.org/wiki/File:Pythagoras_similar_triangles.svg
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Pythagorean Theorem Proof Using Similar Triangles Mug

$28.95 per mug
Artwork designed by chartsanddiagrams. Made by Zazzle Home in San Jose, CA. Sold by Zazzle.
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Product ID: 168212353716851672
Made on: 4/3/2012 6:42 PM
Reference: Guide Files