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Pythagorean Theorem Proof Using Similar Triangles

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Signature Matte
  • 17 pt thickness / 120 lb weight
  • Light white, uncoated matte finish with an eggshell texture
-$0.35
+$1.25
+$1.25

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Size: Standard (12.7 cm x 17.8 cm)

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  • >Dimensions: 12.7 cm x 17.8 cm (5" x 7") portrait or 17.8 cm x 12. 7 cm (7" x 5") landscape
  • Full colour CMYK print process
  • All-sided printing for no additional cost
  • Printable area on the back of the card is 7.6 cm x 10.2 cm (portrait) or 10.2 x 7.6 cm (landscape)
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Paper Type: Matte

The most popular paper choice, Matte’s eggshell texture is soft to the touch with a smooth finish that provides the perfect backdrop for your chosen designs.

  • Light white, uncoated matte finish with an eggshell texture
  • Paper is easy to write on and won't smudge

About This Design

Pythagorean Theorem Proof Using Similar Triangles

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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By E.15 November 2021Verified Purchase
Folded Card, Size: Standard (12.7 cm x 17.8 cm), Paper: Signature Matte
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Lovely quality cards. Nice to get a real traditional Chrismassy theme in Australia, not the beach and Australian animals stuff. Excellent, would use again
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By Angela M.16 November 2022Verified Purchase
Folded Card, Size: Big (21.6 cm x 28 cm), Paper: Signature Matte
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Easy to order Good price Quick delivery. Card came out exactly as ordered
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By Nicole B.20 August 2025Verified Purchase
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Very impressed with the quality of my personalised birthday card. Also received it very quickly .

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Product ID: 137683950939446802
Added on 3/4/12, 5:42 pm
Rating: G