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Home / Doubts and Solutions/JEE/Mathematics

in a right angled triangle the hypotenuse is 2root2 times the perpendicular drawn from  the opposite vertex then then other acute angles of triangle are 

Asked by gargpuneet989 9th July 2018, 7:54 PM
Answered by Expert
Answer:
begin mathsize 16px style straight h squared equals mn............. left parenthesis 1 right parenthesis straight m plus straight n equals 2 square root of 2 straight h straight m equals 2 square root of 2 straight h minus straight n........ left parenthesis 2 right parenthesis sub space left parenthesis 2 right parenthesis space in space left parenthesis 1 right parenthesis straight n squared minus 2 square root of 2 hn plus straight h squared equals 0 using space formula space method straight n equals fraction numerator 2 square root of 2 straight h plus-or-minus square root of 8 straight h squared minus 4 straight h squared end root over denominator 2 end fraction equals open parentheses square root of 2 plus 1 close parentheses straight h tan space straight theta space equals straight h over straight n equals fraction numerator 1 over denominator square root of 2 plus 1 end fraction cross times fraction numerator square root of 2 minus 1 over denominator square root of 2 minus 1 end fraction equals square root of 2 minus 1 tan space 2 straight theta space equals space fraction numerator 2 tan space straight theta over denominator 1 minus tan squared straight theta end fraction f i n d space theta end style
Answered by Expert 10th July 2018, 6:10 PM
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