kfreund290
kfreund290 kfreund290
  • 24-04-2019
  • Mathematics
contestada

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

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 class=

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calculista
calculista calculista
  • 04-05-2019

Answer:

Option A) 2 square root 3

Step-by-step 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

Answer Link
Аноним Аноним
  • 21-11-2019

Answer:

The correct answer is A. 2√3

Step-by-step explanation:

Answer Link

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