In a triangle `A B C ,` right angled at `B ,` then `r=(A B+B C-A C)/2` b. `r=(A B+A C-B C)/2` c. `r=(A B+B C+A C)/2` d. `R=(s-r)/2`

In a triangle A B C , right angled at B , the inradius is (A B+B C-A C)/2 (b) (A B+A C-B C)/2 (A B+B C+A C)/2 (d) none

In a triangle A B C , right angled at C ,t a n A+t a n B is equal to a. a+b b. (c^2)/(a b) c. (a^2)/(b c) d. (b^2)/(a c)

In triangle A B C , if A D is the bisector of /_A , prove that: (A r e a( A B D))/(A r e a( A C D))=(A B)/(A C)

A B C is a right triangle right-angled at A and A D_|_B C . Then, (B D)/(D C)= mm (a) ((A B)/(A C))^2 (b) (A B)/(A C) (c) ((A B)/(A D))^2 (d) (A B)/(A D)

In a triangle A B C , if a : b : c=3:7:8,t h e n R : r is equal to a. 2:7 b. 7:2 c. 3:7 d. 7:3

If in a triangle A B C angle B=90^0 then tan^2(A/2) is (b-c)/a (b) (b-c)/(b+c) (c) (b+c)/(b-c) (d) (b+c)/a

In A B C , A D and B E are altitudes. Prove that (a r( D E C))/(a r( A B C))=(D C^2)/(A C^2)

If the medians of a triangle A B C intersect at G , show that a r( triangle A G B)=a r( triangle A G C)=a r( triangle B G C)=1/3a r( triangle A B C) . GIVEN : triangle A B C such that its medians A D ,B E and C F intersect at G . TO PROVE : a r(triangle A G B)=a r( triangle B G C)=a r(triangle A G C)=1/3a r(triangle A B C)

If A B C D is a parallelogram, the prove that a r( A B D)=a r( B C D)=a r( A B C)=a r( A C D) =1/2a r (||^(gm) A B C D)

If the medians of a triangle A B C intersect at G , show that a r( triangle A G B)=a r(triangle A G C)=a r(triangle B G C)=1/3a r( triangle A B C) . GIVEN : triangle A B C such that its medians A D ,B E and C F intersect at G TO PROVE : a r(triangle A G B)=a r(triangle B G C)=a r(triangle C G A)=1/3 ar (triangle A B C) .