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Chord ab intersects chord hi at point c.the length of cb is 4 times the length of ac.find the length of ac

Chord ab intersects chord hi at point c.the length of cb is 4 times the length of ac.find the length of ac
asked 163k views
1 vote
chord ab intersects chord hi at point c.the length of cb is 4 times the length of ac.find the length of ac

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User Injecto
by
8.0k points

1 Answer

2 votes
Chord AB = ?
Chord AB = AC + CB

Chord HI = HC + CI
HC = 7
CI = 28
Chord HI = 7 + 28 = 35

Chord AB = Chord HI

CB is 4 times the Length of AC. Let AC be X.

x + 4x = 35
5x = 35
x = 35/5
x = 7

AC = x = 7
CB = 4x = 4(7) = 28
answered
User Jsmars
by
8.6k points
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