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Byju's Answer
Standard IX
Mathematics
Three Points on a Line
If A, B and C...
Question
If A, B and C are three points that are collinear with AB = BC and AC = 6, then BC = _____.
A
BC =2
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B
BC = 6
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C
BC = 3
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D
BC = 12
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Solution
The correct option is
C
BC = 3
A, B and C are the three points.
so,
AB + BC = AC
AB = BC (given)
∴
2BC = AC
⇒
2BC = 6 (
∵
AC = 6)
∴
BC = 3
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