If in `Delta ABC,` the altitudes from the vertices A, B and C on opposite sides are in HP, then sin A sin B and sin C are in

If in a DeltaABC , the altitudes from the vertices A, B, C on opposite sides are in H.P, then sin A, sin B, sin C are in

If in a !ABC , sin A, sin B and sin C are in A.P, then

Let the lengths of the altitudes drawn from the vertices of Delta ABC to the opposite sides are 2, 2 and 3. If the area of Delta ABC " is " Delta , then find the area of triangle

Show that Rr (sin A+sin B + sin C) =Delta

If in a triangle PQR; sin P, sin Q, sin R are in A.P; then (A)the altitudes are in AP (B)the altitudes are in HP (C)the altitudes are in GP (D)the medians are in AP

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles. GIVEN : A A B C such that the altitude A D from A on the opposite side B C bisects B C i.e., B D=D Cdot TO PROVE : A B=A C i.e. the triangle A B C is isosceles.

If A B C is an isosceles triangle with A B=A C . Prove that the perpendiculars from the vertices B and C to their opposite sides are equal.

In any Delta ABC, sum a sin (B -C) =

In any Delta ABC, sum a(sin B - sin C) =

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A, B and C respectively, then the value of the expression (a)/(c) sin 2C + (c)/(a) sin 2A is