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

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 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

In a triangle ABC,a/b=2+sqrt(3) and /_C=60^(@) then angle A and B is

In a "Delta"A B C , let a ,b , and c denote the length of sides opposite to vertices A, B, and C respectively. If b=2,c=sqrt(3) and /_B A C=pi/6, then value of circumradius of triangle ABC is- 1/2 (2) 1 (3) 2 (4) 1/4

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 median of a triangle divides it into two (a)congruent triangle (b) isosceles triangles (c)right triangles (d) triangles of equal areas

In /_\ A B C ,\ /_A=30^@,\ /_B=40^@a n d\ /_C=110^@ . The angles of the triangle formed by joining the mid-points of the sides of this triangle are

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 ______