Question 182
Let $ABCDA'B'C'D'$ be a cuboid and $M$, respectively $N$ be the feet of the perpendiculars from $A'$ and $C'$ on $BD$. The lengths of the sides $AB$, $BC$ and $AA'$ are $\sqrt{6}$, $\sqrt{3}$ respectively $\sqrt{2}$.
a) Prove that $A'M \perp C'N$.
b) Compute the measure of the angle of the planes $(A'MC)$ and $(ANC')$.
a) Prove that $A'M \perp C'N$.
b) Compute the measure of the angle of the planes $(A'MC)$ and $(ANC')$.