If A, B, C are the angles of a triangle ...

If A, B, C are the angles of a triangle and `tan A = 1, tan B=2`, prove that `tan C=3`. If a, b, c are the corresponding sides, then prove that `a/sqrt5=b/(2sqrt2)=c/3`

Similar Questions

Explore conceptually related problems

If A ,\ B ,\ C are the interior angles of a triangle A B C , prove that tan(B+C)/2=cotA/2

let A, B, C are angles of a triangle and tan ""A/2=1/3,tan ""B/2=2/3, then the value of tan ""C/2 is-

If A,B and C are the angles of a plain triangle and tan(A/2)=1/3 , tan(B/2)=2/3 , then tan(C/2) is equal to

If A, B, C are interior angles of triangle ABC, prove that :- 1+tan^2((B+C)/2)=cosec^2A/2 .

Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3,tan(B/2)=2/3 .then tan(C/2) is equal to

If A ,\ B ,\ C are the interior angles of a triangle A B C , prove that tan((C+A)/2)=cotB/2 (ii) sin((B+C)/2)=cosA/2

If A+B+C= pi/2 , prove that tan A tan B+tan B tan C+tan C tan A=1