Home
Class 12
MATHS
In triangle ABC , prove that (b+c)cos A ...

In `triangle ABC` , prove that `(b+c)cos A +(c+a)cos B +(a+b)cos C=a+b+c`.

Text Solution

Verified by Experts

The correct Answer is:
a+b+c=R.H.S
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE -1|36 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL I)|25 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos
  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

In any o+ABC, prove that: (b+c)cos A+(c+a)cos B+(a+b)cos C=a+b+c

In any Delta ABC, prove that :(b+c)cos A+(c+a)cos B+(a+b)cos C=a+b+c

In triangle ABC , prove that (1) a=b cos C+c cos B (2) b=a cos C+c cos A .

In any triangle ABC, prove that: a cos A+b cos B+c cos C=2a sin B sin C

For any triangle ABC,prove that a cos A+b cos B+c cos C=2a sin B sin C

For any triangle ABC,prove that a(b cos C-c cos B)=b^(2)-c^(2)

For any triangle ABC, prove that (cos A)/(a)+(cos B)/(b)+(cos C)/(c)=(a^(2)+b^(2)+c^(2))/(2abc)

In Delta ABC, prove that :(c-b cos A)/(b-c cos A)=(cos B)/(cos C)

In triangle ABC, prove that (b/c+c/b) cosA +(a/b+b/a) cos C+(a/c+c/a)cosB=3

In any triangle,prove that b cos B+c cos C=a cos(B-C)