Friday, January 31, 2014

Geometry Problem 973: Three Parallel, Square, Vertices, Distance Between Two Parallel Lines, Side, Metric Relations

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 973.

Online Geometry Problem 973: Three Parallel, Square, Vertices, Distance Between Two Parallel Lines, Side, Metric Relations

2 comments:

  1. 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)

    ReplyDelete
  2. Let the perpendicular from B to L3 meet L2 at X and L3 at Y.

    AXBD is concyclic and so < AXY = < AXB = 45

    So AY = XY = 2
    Hence from right triangle ABY, x = sqrt 29

    Sumith Peiris
    Moratuwa
    Sri Lanka

    ReplyDelete