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Pythagorean Theorem Proof Using Similar Triangles Coffee Mug

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Classic Mug
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  • Available in 325 ml or 443 ml
  • Dimensions:
    • 325 ml: 8.1 cm D x 9.7 cm H
    • 443 ml: 8.6 cm D x 11.4 cm H
  • Microwave and dishwasher safe
  • Use caution when removing the mug from the microwave. Use a pot holder or glove as necessary if it is too hot to the touch. Do not microwave an empty mug
  • Strong, ceramic construction
  • Meets FDA requirements for food and beverage safety
  • Do not overfill and be careful with hot liquids that may scald
  • Keep out of reach of children when filled with hot liquid

About This Design

Pythagorean Theorem Proof Using Similar Triangles Coffee Mug

Pythagorean Theorem Proof Using Similar Triangles Coffee Mug

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

Customer Reviews

4.8 out of 5 stars rating22.2K Total Reviews
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22,229 Reviews
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pythagorean theorempythagoreantheoremtrianglemathmathmaticsgeometrychartdiagrammath chart
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pythagorean theorempythagoreantheoremtrianglemathmathmaticsgeometrychartdiagrammath chart

Other Info

Product ID: 168444783767534124
Created on 03/04/2012, 17:42
Rating: G