Home
Class 11
MATHS
Show that 2("bc"cosA+"ca"cosB+"ab"cosC)=...

Show that `2("bc"cosA+"ca"cosB+"ab"cosC)=a^(2)+b^(2)+c^(2).`

Text Solution

Verified by Experts

The correct Answer is:
`a^(2) + b^(2) + c^(2) = R.H.S.`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(a) ) II.|14 Videos
  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(a) ) III.|23 Videos
  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) III.|11 Videos
  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos
  • STRAIGHT LINE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-3(e)) |32 Videos

Similar Questions

Explore conceptually related problems

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

Show that (c-bcosA)/(b-c"cos"A)=(cosB)/(cosC)

Prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2))

Show that sum(b+c)cosA=2s Prove that (b+c)cosA+(c+a)cosB+(a+b)cosC=a+b+c

If A,B,C are angles in a triangle , then prove that cosA+cosB+cosC=1+4sin. (A)/(2)sin. (B)/(2) sin. (C)/(2)

Prove that {:[( a^(2) , bc, ac+c^(2)),( a^(2) +ab,b^(2) ,ac),( ab,b^(2) +bc,c^(2)) ]:} =4a^(2) b^(2) c^(2)

Prove that (a)/(bc)+(cosA)/(a)=(b)/(ca)+(cosB)/(b)=(c)/(ab)+(cosC)/(c)

In DeltaABC,(bc cosA+ca cos B+ab cosC)/(cotA+cot B+cotC) =

|(a,b,c),(a^(2),b^(2),c^(2)),(bc,ca,ab)|=