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Mathswatch question - Area of a triangle using the sine rule

I have a question missing 1 mark but mathswatch doesnt give it to me
In the screenshot

Working out:
BC = 5a-2b-3a-b = 2a-3b
CD = 3a+b+3a-10b = 6a-9b
CD = 3(BC) or BC = 1÷3(CD)
B,C and D lie on a straight line because CD = 3(BC)
Both BC and CD share point C and are parallel due to CD = 3(BC) so BC and CD lie on a straight line to form BCD

Therefore BC and CD are parallel.They also share a common point A so they lie on the same straight line.
BCD is collinear
(edited 4 years ago)
Reply 1
Original post by RB115
I have a question missing 1 mark but mathswatch doesnt give it to me
In the screenshot

Working out:
BC = 5a-2b-3a-b = 2a-3b
CD = 3a+b+3a-10b = 6a-9b
CD = 3(BC) or BC = 1÷3(CD)
B,C and D lie on a straight line because CD = 3(BC)
Both BC and CD share point C and are parallel due to CD = 3(BC) so BC and CD lie on a straight line to form BCD

Therefore BC and CD are parallel.They also share a common point A so they lie on the same straight line.
BCD is collinear

Your reasoning seems fine.
Personally, i'd have calculated BC and BD, and it may be what mathswatch is expecting?

Edit minor typo about sharing a point A and rather than saying they share point C, say both lines pass through point C.
(edited 4 years ago)

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