Home
Class 12
MATHS
Prove that acosA+bcosB+ccosClt=sdot...

Prove that `acosA+bcosB+ccosClt=sdot`

Text Solution

Verified by Experts

`a cos a + b cos B + c cos C`
`= R(2 sin A cos A + 2 sin B cos B + 2 sin C cos C)`
`=R (sin 2A + sin 2B + sin 2C)`
`=4R sin A sin B sin C`
`=(2)/(R) (2R^(2) sin A sin B sin C)`
`= (2)/(R) Delta`
`=2(rs)/(R) le s " " [:' R ge 2r]`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise 5.1|12 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise 5.2|8 Videos
  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos
  • PROPERTIES OF TRIANGLE, HEIGHT AND DISTANCE

    CENGAGE|Exercise Question Bank|32 Videos

Similar Questions

Explore conceptually related problems

Prove that 0!=1

Prove that 0!=1

In DeltaABC , prove that: acosA+bcosB=(c)cos(A-B)

Prove that cosecA-2cot2AcosA=sinA

Prove that (1+x) 0

Prove that A-B=A cap B '.

Prove that l||m||n

Prove that : adj.O=O

Prove that : 4\ R\ sin AsinB\ sin C=acosA+b\ cos B+c cosCdot

Prove that |z|=|-z|