Tricky

Geometry Level 4

An ant is at a corner of a cubical room of side 1 m.It started moving with constant speed 2 m/s.Find the shortest time to reach the farthest corner.

√2/2 (√2+1)/2 √5/2 √3/2

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1 solution

Ahmad Saad
Feb 18, 2016

How do you know that the shortest route goes through M?

Joe Mansley - 4 years, 8 months ago

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It is clear from right figure .

the shortest distance between the two corners A & F is a straight line segment AF.

AF intersects CB at point M.

sinse the two triangles ABM , FCM are congruent

then, point M is a midpoint of CB.

Ahmad Saad - 4 years, 8 months ago

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