In `DeltaABC` with usual notations if b=8,c=12,`(BD)/(DC)`=`(3)/(2)` and `/_BAD=30^(@)` then length of AD is

Given (b+c)/(11) = (c+a)/(12) = (a+b)/(13) for a Delta ABC with usual notation. If (cos A)/(alpha) = (cos B)/(beta) = (cos C)/(gamma) , then the ordered triad (alpha, beta, gamma) has a value:

In a DeltaABC , with usual notations, if b gt c then distance between foot of median and foot of altitude both drawn from vertex A on BC is :

In DeltaABC , if a=6, b=8, c=10, evaluate cos2A.

With usual notations, if in a triangle ABC (b+c)/(11) = (c+a)/(12) = (a+b)/(13) , then cos A : cos B : cos C is :

With usual notations, if in a triangle A B C(b+c)/(11)=(c+a)/(12)=(a+b)/(13) , then prove that: (cosA)/7=(cosB)/(19)=(cosC)/(25)

In a DeltaABC if b =a (sqrt3-1) and /_C =30^@ then the measure of the angle A is

In a DeltaABC , if a = 40, c=40sqrt(3) and B=30^(@) , then the triangle is

In an equilateral triangle with usual notations the value of (27r^(2)R)/(r_(1)r_(2)r_(3)) is equal to

In any triangle ABC (with usual notation), Let cotA=sqrt(a c),cot B=sqrt(c/a),cotC=sqrt((a^3)/c) then which of the following is true : a+a^2=1-c (2) a+a^2=1+c a+a^2=2-c (4) 1+a+a^2=c a-a^2=1-c

With the usual notation in DeltaABC if angleA+angle B=120^(@),a=sqrt(3)+1 and b=sqrt(3)-1 then the ratio angle A:angleB is