Let `A B Ca n dA B C '` be two non-congruent triangles with sides `A B=4,A C=A C^(prime)=2sqrt(2)` and angle `B=30^0` . The absolute value of the difference between the areas of these triangles is

In triangle ABC, sinA sin B + sin B sin C + sin C sin A = 9//4 and a = 2 , then the value of sqrt3 Delta , where Delta is the area of triangle, is _______

If the angles of a triangle are 30^0a n d45^0 and the included side is (sqrt(3)+1)c m then the area of the triangle is______.

Let the angles A , Ba n dC of triangle A B C be in AdotPdot and let b : c be sqrt(3):sqrt(2) . Find angle Adot

Let the area of triangle ABC be (sqrt3 -1)//2, b = 2 and c = (sqrt3 -1), and angleA be acute. The measure of the angle C is

Let the area of triangle ABC be (sqrt3 -1)//2, b = 2 and c = (sqrt3 -1), and angleA be acute. The measure of the angle C is

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

Consider a triangle A B C and let a , ba n dc denote the lengths of the sides opposite to vertices A , B ,a n dC , respectively. Suppose a=6,b=10 , and the area of triangle is 15sqrt(3)dot If /_A C B is obtuse and if r denotes the radius of the incircle of the triangle, then the value of r^2 is

The sides of triangle ABC satisfy the relations a + b - c= 2 and 2ab -c^(2) =4 , then the square of the area of triangle is ______

In triangle A B C ,D is on A C such that A D=B C=D C ,/_D B C=2x ,a n d/_B A D=3x , all angles are in degrees, then find the value of xdot

Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D are mutually perpendicular. Let the area of triangles A B C ,A C Da n dA D B be 3, 4 and 5sq. units, respectively. Then the area of triangle B C D is 5sqrt(2) b. 5 c. (sqrt(5))/2 d. 5/2