Question 17
Let $P$ be inside acute triangle $ABC$. The distances from $P$ to the three vertices are $d_A, d_B, d_C$, and its perpendicular distances to the sides are $d_1, d_2, d_3$ respectively. Prove
$$
d_A + d_B + d_C \geq 2(d_1 + d_2 + d_3).
$$
$$
d_A + d_B + d_C \geq 2(d_1 + d_2 + d_3).
$$