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Topic: mathcounts no-trig question
Replies: 7   Last Post: Jan 10, 2012 11:35 AM

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Guy Brandenburg

Posts: 83
Registered: 1/30/05
mathcounts no-trig question
Posted: Jan 9, 2012 8:17 PM
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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 75-15-90 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 

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