In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AO =
A) 4
B) 4/3 (its supposed to be a divided sign)
C) 8
D) 12

8, because point O is the centroid because it is the intersection point of the medians. The distance from a vertex to the centroid is always the same, and the ratio of the distance from a vertex to the centroid to the distance from the centroid to the side is always 2:1. So, we know that since FO=4, CO=8. AO=CO, so AO=8.

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NAWty12345 NAWty12345 · Answer 2 · 2019-10-25T03:41:54+02:00

NAWty12345 NAWty12345

25-10-2019

It's B since we know it is an equilateral triangle and since the sides are congruent, and CF are medians/bisect AB, Triangle AFO is a right triangle. Now,

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In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AO = A) 4 B) 4/3 (its supposed to be a divided sign) C) 8 D) 12

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In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AO =
A) 4
B) 4/3 (its supposed to be a divided sign)
C) 8
D) 12