Consider a `Delta ABC` and let a,b, and c denote the leghts of the sides opposite to vertices A,B and C, respectively. Suppose `a=2,b =3, c=4` and H be the orthocentre. Find `15(HA)^(2).`

Consider a triangle ABC and let a , b , and c denote the lengths of the sides opposite to vertices A , B and C respectively. suppose a = 6 , b = 10 and the area of the triangle is 15sqrt3 . If angleACB is obtuse and if r denotes the radius of the in circle of the triangle , then r^(2) is equal to

Consider a DeltaABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C, repectively. if a=1,b=3 and C=60^(@), then sin ^(2) B is equal to

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

Consider a triangle ABC and let a,b and c denote the lengths of the sides opposite to vertices A,B and C respectively.If a=1,b=3 and C=60^(@), the sin^(2)B is equal to

Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C, respectivelu. Suppose a = 6, b = 10 and the triangle is 15 sqrt3 . If angle ACB is obtus and if r denotes than radius of the incircle of the triangle, then the value of r^(2) 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

Let ABC be a triangle such that /_ABC=(pi)/(6) and let a,b and c denote the lengths of the sides opposite to A,B and C respectively. The value(s) of x for which a=x^(2)+x+1,b=x^(2)-1 and c=2x+1 is /are(a)-(2+sqrt(3))(b)1+sqrt(3)(c)2+sqrt(3) (d) 4qsrt3

Let ABC be a triangle such that angleACB=pi/6 and let a , b and c denote the lengths of the side opposite to A ,B and C respectively. The value of x for which a=x^(2)+x+1,b=x^(2)-1 and c=2x+1 is