The edge lengths of tetrahedral a-bcd are a, e and F are the midpoint of AD and BC respectively. The cosine value of the angle formed by the straight line AF of the different plane to CE is calculated

The edge lengths of tetrahedral a-bcd are a, e and F are the midpoint of AD and BC respectively. The cosine value of the angle formed by the straight line AF of the different plane to CE is calculated

Let G be the midpoint of be and FG ‖ CE. ∠ AFE be the angle
AF = (√ 3 / 2) a.gf = (√ 3 / 4) a ABG.AG² ; = (7 / 16) a & sup2; (cosine theorem)
Look AFG.cos ∠ AFE = 2 / 3 (cosine theorem)