I think that for the radius of a circle inside a triangle...I need the radius for a circle on the outside of the triangle.
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Use this - Irregular Triangle Calculator
Angles a and c will be 30 degrees (half of the 60 degrees that each corner of the equilateral triangle makes). Side b is your dimension of 1490.
Here's a diagram.
Attachment 126999
Try this link. Move the triangle around in the frame so each side is equal to 14.9 (as per your drawing). It then gives you a radius of 8.6, or diameter of 17.2. Hope that's close enough.
Circumcircle of a Triangle - Math Open Reference
Edit: Beat me to it. Looks like Homestar gets a Gold star!
Cheers all.....bugger me
I had to engage brain cells I'd not used for many decades... [biggrin]
Pretty happy I haven't killed them all.... yet...
I just engaged Dr Google and as usual it missed[biggrin]
Yes the trigonometry is correct, but as I tell my students if really stuck get some chalk and draw it life size on the ground.
Alternatively draw in a CAD program on computer.
Cheers