Derive the Formula of inradius `(i) Delta / s (ii) (s-a) tan (A/2) (iii) 4R sin (A/2) sin (B/2 )sin (C/2)`

Find the Radius of escribed circle (i) r1= Delta /(s-a)=s tan A/2=4R sin A/2cos B/2cos C/2

If sides a,b,c of Delta ABC are in A.P., then : sin (A/2) cdot sin (C/2)/(sin (B/2) =

Show that: sin A + sin B +sin C - sin(A+B+C)=4 sin ((A+B)/2)sin ((B+C)/2)sin ((C+A)/2)

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

In Delta ABC , if : sin(A/2) .sin (C/2) = sin (B/2) then : semiperimeter s =

In Delta ABC,2R^(2)sin A sin B sin C is equal to

Consider the following statements concerning a DeltaABc (i) The sides a,b,c and area of triangle are rational. (ii) a, "tan"(B)/(2),"tan"(C)/(2) are rational (iii) a, sin A sin B, sin C are rational . Prove that (i) rArr(ii) rArr(iii)rArr(i)

If A, B, C are angle of a triangle ABC, then the value of the determinant |(sin (A/2), sin (B/2), sin (C/2)), (sin(A+B+C), sin(B/2), cos(A/2)), (cos((A+B+C)/2), tan(A+B+C), sin (C/2))| is less than or equal to

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