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

Labels:
distance,
metric relations,
side,
square,
three parallel,
vertex

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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