Math (geometry problem)

[JustinJ]

OK who can figure this out? I can get it close enough to work for our application, but I want to figure out the math to do it for real. Need to take a piece of 1/2" wide flat and make a rhombus to fit into a 4"x8.25" rectangle. The right and left side are perpendicular to the 8.25" side of the rectangle and parallel to the 4" side of the rectangle. If I could figure out how to get one side length or one angle of the rhombus I'd be set, but I can't figure it out. See what y'all think.

[JustinJ]

[Mike Fangman]

You lost me at rhombus.

[Graysonhogs]

You lost me at rhombus.

It's an old, old wooden ship used in the Civil War

[hogslayer78]

You lost me at rhombus.

Yeah me too! Isn't that some kind of dance?😁

[JustinJ]

I can get it to within +/- .0002 when it really on needs to be +/- .125 Hell my machine barely cuts that precise

But I just want to know how to do it legit!

[DedDuk]

You lost me at rhombus.

Small self propelled vacuum.

[lab man]

Length would be 8.94" and angle would be 22.66*

[JayB]

No...Rhombus is what happens with Momma when the kids are away.

[TxJustice]

https://www.calculator.net/triangle-calculator.html

this or something similar is what I would use

[JustinJ]

Length would be 8.94" and angle would be 22.66*

How'd you come up with that?

Looks like its basically correct, except its rounded.

[AlaskaFlyerFan]

Let me break out my crayons and see if I can come up with something.

[JustinJ]

https://www.calculator.net/triangle-calculator.html

this or something similar is what I would use

Thats just basic trig. I can do that. Don't know how to apply it here.

[hunt247]

I could do it with a construction calculator. Same as figuring rafters. I assume you are needing the length of the rhombus?
9.1685604104461"

[RingSteel]

Layed out in AutoCAD.