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Line Length from Two Triangles (Posted on 2016-07-01) Difficulty: 3 of 5
Consider two triangles PQG and PEF, where:
E is the mid-point of PQ, and:
Points P, G and F lie on the same line, and:
QG and EF intersect at the point R
RE = 1 and, PR = PE = FG

Given that PG = x, determine PQ in terms of x.

No Solution Yet Submitted by K Sengupta    
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re: Unresolved | Comment 2 of 4 |
(In reply to Unresolved by armando)

I do think your hypothesis is correct.  Making the assumption that PG=PQ readily implies that the figure must be symmetric about line PR, with E mapping to G and Q mapping to F.
  Posted by Brian Smith on 2016-07-04 12:32:51

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