" Solution of Triangles "

Solutions Of Triangle

Solution of Triangle in different cases :- (1) When bltcsinB (2) b=csinB and B is an acute angle (3)bgtcsinB;bltc and B is an acute angle (4) bgtcsinB;cltb;and B is an acute angle

Solution of Triangle in different cases :- (5) When b>c sin B;c c;B=90^(@) (7) b>c;B=90^(@)(8)b<=c and B=90^(@)

Basic introduction OF Solution OF Triangle

In the ambiguous case of the solution of triangle, prove that the circumcircles of the two triangles are of same size.

If alpha,beta,gamma are the angles of a triangle and system of equations cos(alpha-beta)x+cos(beta-gamma)y+cos(gamma-alpha)z=0cos(alpha+beta)x+cos(beta+gamma)y+cos(gamma+alpha)z=0sin(alpha+beta)x+sin(beta+gamma)y+sin(gamma+alpha)z=0 has non-trivial solutions,then triangle is necessarily a.equilateral b.isosceles c.right angled

If alpha,beta,gamma are the angles of a triangle and system of equations cos(alpha-beta)x+cos(beta-gamma)y+cos(gamma-alpha)z=0 cos(alpha+beta)x+cos(beta+gamma)y+cos(gamma+alpha)z=0 sin(alpha+beta)x+sin(beta+gamma)y+sin(gamma+alpha)z=0 has non-trivial solutions, then triangle is necessarily a. equilateral b. isosceles c. right angled "" d. acute angled