In parshas Terumah (Shmos 25:10) we are given the commandment to make the Aron.
Geometry in the Beit HaMikdash?
Each wing of the Kruvim (Cherubs) in the Kodesh HaKedoshim (Holy of Holies) was 5 amos long. Each Kruv had two wings (that makes sense!). With two Kruvim, the wings covered 20 amos.
BUT: The Kodesh Hakedoshim was only 20 amos by 20 amos. See why this was an issue? How did both Kruvim fit from one end to the other? The wings themselves already spanned 20 amos; that doesn’t include the actual BODY of the Kruv itself! It’s impossible!
Answer 1: It was miraculous, and both Kruvim fit.
Answer 2: The Kruvim had their wings up and out.
Tosofists, the hidden Math Geniuses: Fit them on the hypotenuse of the square!!!
Question: What is the hypotenuse of the Kodesh Hakedoshim?
Formula for Hypotenuse: a2 + b2 = c 2
Sides: 202 + 202 = c 2
400 + 400 = c 2
800 = c 2
√800 = c
28.284 = c