What is your favorite method for a square in a square block?

I am making a quilt for my nephew and I purchased 12 embroidered blocks of the Boston Bruin's logo, which will be the center square set on point, in a sawtooth star block, and then I need the triangles which completes the square to measure at 5" finished, and then I will add the star points to make the block 10.5" unfinished.

In other words....I am making a 10" sawtooth star, with a center square in square.

Before I start cutting, I want to be sure I am doing this right.

Take the centered logo and cut it to 5.5 inches unfinished.

Cut four squares at 3" unfinished and draw a diagonal line edge to edge.

Align the squares to each corner of the logo patch, sew on the diagonal line, from center to opposite edge to make the triangle patch, cut away excess, press out.

This needs to result in a 5.5" unfinished square.

Are my measurements correct?

Thanks in advance!

Diane