Home
Class 11
MATHS
If in a triangleA B C , (2cosA)/a+(cos B...

If in a triangle`A B C ,` `(2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a)` , then prove that the triangle is right angled.

Promotional Banner

Similar Questions

Explore conceptually related problems

If in a triangle ABC, (bc)/(2 cos A) = b^(2) + c^(2) - 2bc cos A then prove that the triangle must be isosceless

in a triangle ABC , ( cos A)/(a) = (cos B )/( b) = ( cos C )/( c ) if a=(1 )/( sqrt(6)) then the area of the triangle ( in square units ) is

In triangle ABC if 2sin^(2)C=2+cos2A+cos2B , then prove that triangle is right angled.

In a triangle ABC, if (cosA)/a=(cosB)/b=(cosC)/c and the side a =2 , then area of triangle is

If in a triangle A B C ,(1+cosA)/a+(1+cosB)/b+(1_(cosC))/c =(k^2(1+cosA)(1+cosB)(1+cosC)/(a b c) , then k is equal to 1/(2sqrt(2)R) (b) 2R (c) 1/R (d) none of these

Show that cosA/a +cosB/b +cosC/c =(a^2 +b^2 +c^2 )/2abc

In a triangle A B C prove that a//(a+c)+b//(c+a)+c//(a+b)<2

IF in triangle ABC a cos ^2 ((C )/(2 )) c cos ^2 ((A) /(2 )) = (3 b)/(2) then the sides a,b,and c

If in a triangle A B C ,/_C=60^0, then prove that 1/(a+c)+1/(b+c)=3/(a+b+c) .

in a triangle ABC , (b+c) ( bc ) cos A + (a +c) (ac) cos B + ( a+b) (ab) cos C Is