#Geometric

33 messages · Page 1 of 1 (latest)

edgy steeple
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Hsy there

fervent nimbusBOT
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edgy steeple
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Hi can someone teach me this question?

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I just did h = √(3)x/2 so far

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Am i in the right track?

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And what to do next step ?

grave cipher
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there are actually a lot of ways you can do this

edgy steeple
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Hi... is you again glad you're here to help

grave cipher
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if you label the vertices A, B, C and call your circumcenter O, you could find <AOC?

grave cipher
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close

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yep

edgy steeple
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typo

grave cipher
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now since AOC is isosceles, you can find <OAC too

edgy steeple
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just 30

grave cipher
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now call the midpoint of AC M

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you can find AM and <OMA

edgy steeple
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well i just let the length randomly "x" the midpoint AC is x/2

grave cipher
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and then since AOC is isosceles, OM should be perpendicular to AC

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OMA is similar to BMA, and BM is equal to the height

edgy steeple
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similar traingle ?

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so is (h/2)/(x/2) = 2/h ?

grave cipher
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not quite

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you have OA/AM = AB/BM

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which means OA/(x/2) = x/(√(3)x/2)

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edited for clarity

grave cipher
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sorry i’m rushing; my phone is dying

edgy steeple
edgy steeple
edgy steeple