Question #4a994

1 Answer
José F.
Dec 4, 2017

A right triangle with the smallest angle of 22.5º (#pi/8# rad) will have the other equal to 67.5º (#3pi/8# rad ). The proportions are fixed:

For a catete with length #a# will we have the other catete:

#b=atan(pi/8)=a(sqrt(2)-1)#

#(sqrt(2)-1)=a/b#

Since #(sqrt(2)-1)# is an irrational number it cannot be found by the ratio between two integer numbers, so the problem doesn't have solution

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