The Right Triangle and the Pyramids Exploration

From EscherMath
Revision as of 14:45, 17 November 2008 by Barta (talk | contribs) (New page: 1. Below are some Pythagorean triples. Compute the seqed - in this case b/a - in each case. {| border="1" |- ! Triple (a, b, c) !! Corner Angle !! Seqed (b/a) |- | ( 3, 4, 5) || <math>...)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigationJump to search

1. Below are some Pythagorean triples. Compute the seqed - in this case b/a - in each case.

Triple (a, b, c) Corner Angle Seqed (b/a)
( 3, 4, 5) <math>53.1^o</math>
( 5, 12, 13) 67.4<math>^o</math>
( 7, 24, 25) <math>73.7^o</math>
( 8, 15, 17) <math>61.9^o</math>
( 9, 40, 41) <math>77.3^o</math>
(11, 60, 61) <math>79.6^o</math>
(12, 35, 37) <math>71.1^o</math>
(13, 84, 85) <math>81.2^o</math>
(16, 63, 65) <math>75.6^o</math>
(20, 21, 29) <math>46.4^o</math>
(28, 45, 53) 58.1<math>^o</math>
(33, 56, 65) <math>59.5^o</math>
(36, 77, 85) <math>64.9^o</math>
(39, 80, 89) <math>64.0^o</math>
(48, 55, 73) 48.9<math>^o</math>
(65, 72, 97) <math>47.9^o</math>


2. For the following pyramids determine if they could have been constructed using a technique involving right triangles.

Pyramid Height base Seqed of the pyramid Slope Possible right triangle
Great Pyramid (Khufu) 146.6 230.3 51.8
Khafre 143.5 215.25 .75 53.1 3-4-5 Triangle
Menkaure 66.45 103.4 .79 51.3 Maybe 3-4-5 Triangle?