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)`

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

In Delta ABC , R^(2) ( sin 2A +sin 2B+ sin 2C) =

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

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) (iii) a, sin A sin B, sin C are rational . Prove that (i) rArr(ii) rArr(iii)rArr(i)

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) (iii) a, sin A sin B, sin C are rational . Prove that (i) rArr(ii) rArr(iii)rArr(i)

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) (iii) a, sin A sin B, sin C are rational . Prove that (i) rArr(ii) rArr(iii)rArr(i)

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

In A B C , show that a^2(s-a)+b^2(s-b)+c^(2)(s-c))=4R (1+r sin (A/2)sin( B/2)sin( C/2))