
mathcounts notrig question
Posted:
Jan 9, 2012 8:17 PM



Found this question on an old Mathcounts test  a portion where calculators aren't allowed.
I know the answer (3/4), which I got by using illegal methods (calculators, sines, and cosines), but I can't figure out how one could figure it out just using brain, paper, and pencil.
The question poses a 751590 triangle whose hypotenuse is given as the square root of three.
The goal is to compute the area.
Any hints or suggestions would be welcome. Guy Brandenburg, Washington, DC http://gfbrandenburg.wordpress.com/ http://home.earthlink.net/~gfbranden/GFB_Home_Page.html ============================

