In ` A B C ,a , ca n dA` are given and `b_1,b_2` are two values of the third side `b` such that `b_2=2b_1dot` Then prove that `sinA=sqrt((9a^2-c^2)/(8c^2))`

In a delta ABC, a,c, A are given and b_(1) , b_(2) are two values of third side b such that b_(2)=2b_(1). Then, the value of sin A.

In Delta ABC, a, b and A are given and c_(1), c_(2) are two values of the third side c. Prove that the sum of the area of two triangles with sides a, b, c_(1) and a, b c_(2) " is " (1)/(2) b^(2) sin 2A

In a Delta ABC, a,b,A are given and c_(1), c_(2) are two valus of the third side c. The sum of the areas two triangles with sides a,b, c_(1) and a,b,c_(2) is

In a DeltaABC , a,b,A are given and c_(1),c_(2) are two values of the third side c. The sum of the areas of two triangles with sides a,b, c_(1) and a,b, c_(2) is

If a , b ,\ A are given in a triangle and c_1a n d\ c_2 are two possible values of third side such that c_1^2+c_1c_2+c_2^2=a^2 , then A is equal to 30^0 (b) 60^0 (c) 90^0 (d) 120^0

If a!=b!=c then prove that (a^(2)+b^(2)+c^(2))/(ab+bc+ca)>1

In hat boldsymbol QABC, sides b,c and angle B are given such that a has two valus a_(1) and a_(2). Then prove that |a_(1)-a_(2)|=2sqrt(b^(2)-c^(2)sin^(2)B)

If a,b,A be given in a triangle and c_(1) and c_(2) be two possible value of the third side such that c_(1)^(2)+c_(1)c_(2)+c_(2)^(2)=a^(2), then a is equal to

If A,B,C are the angles of a triangle and tan A=1,tan B=2, prove that tan C=3 If a,b,c are the corresponding sides,then prove that (a)/(sqrt(5))=(b)/(2sqrt(2))=(c)/(3)