How do I construct a 4 sided 45 degree pyramid from four triangular planes ( open on bottom )

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I have two square mirrors, and I'm trying yo create a four sided 45 degree pyramid with as few cuts as possible. I'm trying to figure out how to design a 2d pattern that will result in the pyramid I desire. The mirrors I have are 10" x 10"

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You have to cut out four isosceles triangles with base $x$ and altitude $x/\sqrt2$. See picture below for a possible cutting pattern.

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EDIT. Here's a way to get the triangles with only four cuts. Notice however that they are smaller than before.

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