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Angles missing (Posted on 2012-07-09) Difficulty: 2 of 5
What are the angles of the right-angled triangle, whose area is 1/(2*pi) of said triangle's circumscribing circle's area?

  Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)
Solution: (Hide)
Let the triangle be ABC, C=90degrees.
R- radius of the circle.

S=pi*R^2/2pi=(R^2)/2
On the other hand S=1/2*2RcosA*2RsinA=R^2*sin2A
sin2A=1/2
2A=30
A=15 , B=75 degrees

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  Subject Author Date
SolutionsolutionCharlie2012-07-09 12:17:43
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