Original post by Wyvern64
OPQ is a triangle.
-> -> -> ->
2PR = RQ and 3OR = OS
-> ->
OP = a and OQ = b
->
Show that OS = 2a + b
-> -> -> ->
2PR = RQ and 3OR = OS
-> ->
OP = a and OQ = b
->
Show that OS = 2a + b
Well OS is the same as 3OR. So now you want to effectively figure out what OR is in terms of a and b.
Note that OR = OP + PR, or we can also go along a different path OR = OQ + QR
This means that OP + PR = OQ + QR -----> a + PR = b + QR
Notice that QR = - RQ and since RQ = 2PR we have that QR = -2PR. So our equation above becomes a + PR = b - 2PR.
You can determine what PR is in terms of a and b now. Hence show the result for OS.
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