In any triangle `A B C ,sumasin(B-C)` in equal to `a b+b c+c a` b. `0` c. `3a b c` d. `3(a+b+c)`

In a triangle A B C ,(r_1+r_2)/(1+cosC) is equal to (2a b)/(c"Delta") (b) ((a+b))/(c"Delta") (a b c)/(2"Delta") (d) (a b c)/("Delta"^2)

In any triangle ABC,prove that a sin (B-C)+b sin(C-A)+c sin(A-B)=0

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

Any point D is taken in the base B C of a triangle A B C\ a n d\ A D is produced to E , making D E equal to A Ddot Show that a r\ ( B C E)=a r( A B C)

In a triangle A B C , if B=30^0a n d\ c=sqrt(3)\ b , then A can be equal to 45^0 (b) 60^0 (c) 90^0 (d) 120^0

In any Delta ABC,sum a(sin B-sin C)=a^(2)+b^(2)+c^(2)(b)a^(2)(c)b^(2)(d)0

In any triangle ABC, prove that: a^(3)sin(B-C)+b^(3)sin(C-A)+c^(3)sin(A-B)=0

Fill in the blanks in the following so that each of the following statements is true Sides opposite to equal angles of a triangle are ....... Angle opposite to equal sides of a triangle are ....... In an opposite to equal sides of a triangle are ....... In a A B C if /_A=/_C , then A B= ..... If altitudes C E a n d B F of a triangle A B C are equal, then A B= ........ In an isosceles triangle A B C with A B=A C , if B D a n d C E are its altitudes, then B D is .......... C E In right triangles A B C a n d D E F , if hypotenuse A B=E F and side A C=D E , then A B C ~= ....

In an equilateral triangle A B C if A D_|_B C , then A D^2 = (a)C D^2 (b) 2C D^2 (c) 3C D^2 (d) 4C D^2