The Right Triangle and the Pyramids Exploration

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?