document.write( "Question 380320: Given an isosceles triangle with a height of 4 and a vertex angle of 14.25 degrees, I would like to know a formula to determine the length of the base. Thank you. \n" ); document.write( "
Algebra.Com's Answer #270136 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The height bisects the vertex angle and forms a right triangle with (1/2)base as one leg, the height as another leg and the hypotenuse is one of the congruent sides of the isoceles triangle.
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\n" ); document.write( "\n" ); document.write( "Since you know the angle,
\n" ); document.write( "\"A=14.25%2F2=7.125\"
\n" ); document.write( "You can use the tangent of the angle to determine the base.
\n" ); document.write( "\"tan%28A%29=OPP%2FADJ=%28%281%2F2%29B%29%2FH=B%2F%282H%29=B%2F8\"
\n" ); document.write( "\"B=8%2Atan%287.125%29\"
\n" ); document.write( "\"highlight%28B=1%29\"
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