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Topic: Another Triangle division.
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Posts: 658
Registered: 12/6/04
Another Triangle division.
Posted: Dec 17, 2010 10:59 PM
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An isosceles triangle has a larger base than its sides.
A line is drawn from its apex to its base with a further line drawn at 90 degrees to that line so as to finish at the triangle side.
Both lines are of equal length.
We now have the triangle divided into 3 equal areas.
Find the ratio of the triangle side to its base.
An interesting solution involves the use of the trigonometrical identity:-
tan(alpha+beta)= (tan alpha+tan beta)/(1-tan alpha*tan beta)

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