triangular prism

Number Pad:

A=ah+bh+ch+12a4+2(ab)2+2(ac)2b4+2(bc)2c4A = a h + b h + c h + \frac{1}{2} \sqrt{-a^4 + 2(a b)^2 + 2(a c)^2 - b^4 + 2(b c)^2 - c^4}

Input:

aa

hh

bb

cc

Solution:

A=ah+bh+ch+12a4+2(ab)2+2(ac)2b4+2(bc)2c4A = a h + b h + c h + \frac{1}{2} \sqrt{-a^4 + 2(a b)^2 + 2(a c)^2 - b^4 + 2(b c)^2 - c^4}