Home
Class 12
MATHS
In DeltaABC,(cosA)/(a)=(cosB)/(b)=(cosC)...

In `DeltaABC,(cosA)/(a)=(cosB)/(b)=(cosC)/(c)`. If `a=(1)/(sqrt(6))`, then the area of the triangle (in sq unit )is

A

`1//24`

B

`sqrt(3)//24`

C

`(1)/(8)`

D

`(1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
Given , `(cosA)/(ksinA)=(cosB)/(ksinB)=(cosC)/(k sinC)`
`rArrcotA=cotB=cotC`
`rArrA=B=C=60^(@)`
`rArrDeltaABC` is an equilateral triangle
`thereforeDelta=(sqrt(3))/(4)a^(2)=(sqrt(3))/(4)xx(1)/(6)=(sqrt(3))/(24)`sq , unit
Promotional Banner

Similar Questions

Explore conceptually related problems

If in DeltaABC,(cosA)/(a)=(cosB)/(b)=(cosC)/(c) and side a=2, then the area of the triangle is

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

If in a DeltaABC, 2(cosA)/(a)+(cosB)/(b)+(2cosC)/(c)=(a)/(bc)+(b)/(ca) Then, the value of the angleA is ...... Degree

If in DeltaABC,(2cosA)/(a)+(cosB)/(b)+(2cosC)/(c)=(a)/(bc)+(b)/(ca) , then angleA is equal to

IN triangleABC, (cosC+cosA)/(c+a)+(cosB)/(b)=

If in a triangle ABC , 2(cosA)/a+(cosB)/b+2(cosC)/c=a/(bc)+b/(ca) , then the value of the angle A, is

In triangleABC, (b+c)cosA+(c+a)cosB+(a+b)cosC=

If cosA=(3)/(5), cosB=(5)/(13), cosC=(4)/(5) , then the ratio of sides of triangle is