SOLUTION: Given that a regular hexagon has 6 equilateral triangles, AO and OB are angle bisectors of the smaller triangles at the vertex O, What is AB if each side of the hexagon is 2x cm?

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Question 249780: Given that a regular hexagon has 6 equilateral triangles, AO and OB are angle bisectors of the smaller triangles at the vertex O, What is AB if each side of the hexagon is 2x cm?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given that a regular hexagon has 6 equilateral triangles, AO and OB are angle bisectors of the smaller triangles at the vertex O, What is AB if each side of the hexagon is 2x cm?
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I'm not sure of the arrangement, but all bisectors' altitudes are the same for equilateral triangles. Assuming that's what you're looking for:
s%5E2+=+%282x%29%5E2+-+x%5E2
s%5E2+=+3x%5E2
s+=+x%2Asqrt%283%29 cm