document.write( "Question 594914: we have atriangle ABC. Measure of angle A is 105 deg. Length of Side B is equal root2*SideC. then what is the measure of angle C?\r
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document.write( "i know the answer. i need solution with basic geometry. without trigonometry.\r
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document.write( "thanks already. \n" );
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Algebra.Com's Answer #376972 by scott8148(6628) You can put this solution on YOUR website! the sizes of angles and their relationships to the lengths of the opposite sides, unfortunately involves trig \n" ); document.write( "___ the Law of Sines states that the lengths of the sides is in the same proportion as the sines of the opposite angles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since A is 105º, B plus C is 75º - like 30º plus 45º\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sin(30º) = 1/2 ___ sin(45º) = √2 / 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "looks like angle C is 30º \n" ); document.write( " |