If `2b=3a and tan^2 (A)=3/5`, prove that there are two values of third side, one of which is double the other

Let 1 < m < 3. In a triangle ABC , if 2b=(m+1) a & cosA=1/2sqrt(((m-1)(m+3))/m) prove that the are two values to the third side, one of which is m times the other.

If two sides a, b and the angle A be such that the sum of two values of the third side is

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 values 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 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 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 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.

If tan(A+B)=3 tan A , prove that sin(2A+B)=2sin B

If one diagonal of a trapezium divides the other diagonal in the ratio 1:2, prove that one of the parallel lines is double the other.