In a `Delta ABC,` show that ` 2R^(2) sin A sin B sin C=Delta.`

If A + B + C = 180^@ , then prove that sin 2 A+ sin 2B + sin 2C = 4 sin A sin B sin C

In DeltaABC,if cos A+ sin A -(2)/(cos B + sin B) =0, then (a+b)/c is equal to

Delta ABC ~ Delta DEF . BC = 3cm, EF = 4cm and area of Delta ABC = 54 cm^(2) . Determine the area of Delta DEF .

In a Delta ABC , angles A, B, C are in AP. If f(x) = lim_(A to C) (sqrt(3 - 4 sin A sin C))/(|A-C|) , then f'(x) is equal to ..........

If A,B and C are the angle of a triangle show that (i) |{:(sin2A,sinC,sinB),(sinC,sin2B,sinA),(sinB,sinA,sin2C):}|=0. (ii) |{:(-1+CcosB,cosC+cosB,cosB),(cosC+cosA,-1+cosA,cosB),(-1+cosB,-1+cosA,-1):}|=0.

In Delta ABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA SinB then C =

If A(4,-6), B(3,-2) and C(5,2) are the vertices of Delta ABC , then verify the fact that a median of Delta ABC divides it into two triangles of equal areas.

For any "Delta"A B C the value of determinant |sin^2\ \ A cot A1sin^2B cot B1sin^2\ \ C cot C1| is equal to- s in A s in B s in C b. 1 c. 0 d. s in A+s in B+s in C

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot (C/2)

D is midpoint of BC in Delta ABC such that AD and AC are perpendicular, Show that Cos A Cos C = (2 (c^2-a^2))/(3ac)