Verify area of triangle is (i) abc/4R (ii) 2 R^2 SinA sinB sinC

Verify area of triangle is (i) abc/4R (ii) 2R^(^^)2 sinA sin B sin C

In Delta ABC, 2R^(2) sinAsinB sinC=

Prove that the area of triangle ABC= 1/2 ac sinB= 1/2 ab sinC= 1/2 bc sinA

In a triangle ABC, which of the following quantities denote the area of the triangles (a^2-b^2)/2(sinA sinB)/(sin(A-B))

In a triangle ABC, which of the following quantities denote the area of the triangles (a^2-b^2)/2(sinA sinB)/(sin(A-B))

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.

If P is the circumcentre of an acute angled triangle ABC with circumredius R. D is the midpoint of BC. Show that the perimetre of triangleABC = 2R(sinA + sinB + sinC) .

If A,B and C are the angle of a triangle show that |{:(sin2A,sinC,sinB),(sinC,sin2B,sinA),(sinB,sinA,sin2C):}|=0.

If A,B and C are the angle of a triangle show that |{:(sin2A,sinC,sinB),(sinC,sin2B,sinA),(sinB,sinA,sin2C):}|=0.

If any triangle ABC, a=18,b=24,c=30 sinA,sinB,sinC