If the perpendiculars from an interior point to the three sides of an equilateral triangle are $p_1, p_2, p_3$, the side

Question

If the perpendiculars from an interior point to the three sides of an equilateral triangle are $p_1, p_2, p_3$, the side $a$ satisfies —

Accepted Answer

$p_1 + p_2 + p_3 = \dfrac{\sqrt{3}}{2}a$

Answer

$p_1 + p_2 + p_3 = a$

Answer

$p_1 + p_2 + p_3 = \dfrac{a}{2}$

Answer

$p_1 + p_2 + p_3 = \sqrt{3}\,a$

If the perpendiculars from an interior point to the three sides of an equilateral triangle are p1,p2,p3p_1, p_2, p_3p1​,p2​,p3​, the side aaa satisfies —