A surveyor is measuring a triangular lot. From point A he measures 400 m at a bearing of N20°E to reach point B. He then adjusts his equipment to read S60°E for 600 m until
he reaches point C. How far is point C from point A? Finish labelling the diagram, then
show all steps in your solution. [4A, 2C

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.