# The Right Triangle and the Pyramids Exploration

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

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?