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if a,b,c are sides of a righ angle triangle, and c is hypotenuse , c-b not equal to 1, c+b not equal to 1; then prove that log c+a a + =log c-b b = 2 (log c+b a) (log c-b a)

if a,b,c are sides of a righ angle triangle, and c is hypotenuse , c-b not equal to 1, c+b not equal to 1; then prove that logc+aa + =logc-bb = 2 (logc+b a) (logc-b a)

Grade:9

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
8 years ago
take the RHS part apart from 2 to the left hand side and simplify using pythagoras theorem . You will get the answer .

(logc+aa + logc-bb)\((logc+b a) (logc-b a)) = 2

simplify the denominator

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