It has been suggested that the north-south length of the site of the Giza pyramids, from the north side of Khufu to the south side of Menkaure, is 1732 cubits, representing the square root of three times 1000 cubits.

A more exact measure of the square root of three is 1.73205080

It has also been suggested that the baselength of the three pyramids, plus the height of the three pyramids, is equal to the square root of three x 1000. Since the exact baselengths and side angles of the pyramids are disputed, I do not know if any attempt has previously been made to consider just how close the three baselengths plus the three heights are to the square root of three x 1000.

It has been suggested that the intended baselength of Khufu was 440 cubits. It has been suggested that the intended baselength of Khafre was 411 cubits. It has been suggested that the intended baselength of Menkaure was 200 cubits. I realize that the survey measures for Menkaure vary a lot more than the other two and that the baselength of Menkaure is the most contentious of the three, but several authorities have given 200 cubits as the intended length. One reason that these baselengths have been proposed is because they are in whole numbers of cubits, hopefully the following analysis provides a more exact purpose for these whole number baselengths.

It has been suggested that the height of Khufu was based on the phi proportion (with half base of one, height is the square root of phi and slant height is phi). It has been suggested that the height of Khafre was intended to produce a 3-4-5 right triangle for the half-base, height and slant height of the pyramid. It has also been suggested the angle of Menkaure was intended to be the same as Khufu, although this is also more contentious.

I realize the number of assumptions contained in the above stated dimensions, although every one of them has found published support. With baselengths of 440, 411 and 200, with the phi angle for Khufu and Menkaure and the 3-4-5 angle for Khafre the combined results are as follows:

Base of Khufu and Menkaure combined: 640. Half base combined: 320.

Square root of Phi: 1.272019

320 x sq rt phi = 407.0462878 (combined height of Khufu and Menkaure)

407.0462878 plus 640 = 1047.0462878 (combined height and baselength of Khufu and Menkaure)

Base of Khafre: 411. Half base: 205.5 x 4/3 = 274 (height of Khafre)

274 plus 411 = 685 (combined height and baselength of Khafre)

685 plus 1047.0462878 is the combined height and baselength of all three pyramids

685 plus 1047.0462878 = 1732.0462878

The square root of three is 1.73205080

The square root of three times 1000, divided by 1732.0462878 equals 1.000002

This is a margin of error of less than four one thousandths of one cubit over a distance of 1732 cubits, or an error of less than one-tenth of an inch over a distance of over half a mile.

Does this equality provide support for the proposed baselengths and pyramid angles, and support for the idea of a unified site plan?