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No trigonometry, no algebra (Posted on 2005-12-23) Difficulty: 3 of 5
Look at the drawing below, where AB = BC = CD = DT = h, and TD perpendicular to AD:
                                   
                                   o T
                                   |
                                   | (h) 
                                   |
                                   |
  +----------+----------+----------o 
  A    (h)   B    (h)   C    (h)   D
The line AT makes an angle x with AD; the line BT makes an angle y with BD; the line CT makes an angle z with CD.

Using only geometry, prove that (angle x) + (angle y) = (angle z).

See The Solution Submitted by pcbouhid    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Complex solutiongoFish2005-12-24 15:16:53
re: Complex solutionMindRod2005-12-24 12:29:24
re: SolutionMindRod2005-12-24 12:20:19
Complex solutiongoFish2005-12-24 04:44:58
SolutionSolutionBractals2005-12-24 04:35:23
Some ThoughtsWith Trig. IdentityBractals2005-12-24 03:41:34
Some Thoughtsa start, maybeMindRod2005-12-23 22:24:58
re(2): only geometry?pcbouhid2005-12-23 15:09:48
re: only geometry?Richard2005-12-23 13:47:41
Questiononly geometry?MindRod2005-12-23 12:51:35
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