Question

In equilateral ΔABC, AD, BE, and CF are medians. If BC = 12, then DO =

A) 2 square root 3
B) 3
C) 6
D) 6 square root 3

Answer 1

The correct answer is A. 2√3

Explanation:

Answer 2

Option A) 2 square root 3

Explanation:

we know that

The equilateral triangle has three equal sides and three equal angles (60 degrees each)

The triangle BOD is a right triangle

we have

<OBD=(60°/2)=30°

BD=12/2=6 units

tan(<OBD)=DO/BD

tan(30°)=DO/6

DO=6*tan(30°)

DO=2√3 units