Asked by Anonymous
Points A, B, and C are collinear with B between A and C. Points M and N are the midpoints of segments
AB
and
AC
, respectively. Prove that BC = 2MN.
AB
and
AC
, respectively. Prove that BC = 2MN.
Answers
Answered by
oobleck
Mark the points as described.
If the length of AC = 2L and the length of AB = 2x, then you can see that
BC = 2L-2x
MN = L-x
If the length of AC = 2L and the length of AB = 2x, then you can see that
BC = 2L-2x
MN = L-x
Answered by
BonMathGeek
On a line, draw all the variables included.
AC = 2L, and AB = 2x, that means
BC = 2L - 2x
MN = L-x
This is because M and N are the midpoints of AB and BC. This proves that BC is 2x of MN, so henceforth, I have proved it.
AC = 2L, and AB = 2x, that means
BC = 2L - 2x
MN = L-x
This is because M and N are the midpoints of AB and BC. This proves that BC is 2x of MN, so henceforth, I have proved it.
Answered by
Alice
Thx
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