Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the complete problem 973.
Friday, January 31, 2014
Geometry Problem 973: Three Parallel, Square, Vertices, Distance Between Two Parallel Lines, Side, Metric Relations
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Drop B and D perpendicular to L3 at X and Y respective. BXA congruent to AYD so AY=5, DY=2, so AD=sqrt(5^2+2^2)=sqrt(29)
ReplyDeleteLet the perpendicular from B to L3 meet L2 at X and L3 at Y.
ReplyDeleteAXBD is concyclic and so < AXY = < AXB = 45
So AY = XY = 2
Hence from right triangle ABY, x = sqrt 29
Sumith Peiris
Moratuwa
Sri Lanka