In triangle `A B C` , base `B C` and area of triangle are fixed. The locus of the centroid of triangle `A B C` is a straight line that is a) parallel to side `B C` (b)right bisector of side BC (c)perpendicular to BC (d)inclined at an angle `sin^(-1)((sqrt())/(B C))` to side BC

In triangle ABC, base BC is fixed. Then prove that the locus of vertex A such that tan B+tan C= Constant is parabola.

If in triangle ABC, a, c and angle A are given and c sin A lt a lt c , then ( b_(1) and b_(2) are values of b)

If a,b,c are sides of a triangle and a^(2) + b^(2) = c^(2) , name the type of triangle.

In triangle A B C if sin A sin B sin C is equal to 10^(-3) and (A B)(B C)(C A) is equal to 10^3 then the area of triangle A B C , is

A variable triangle A B C is circumscribed about a fixed circle of unit radius. Side B C always touches the circle at D and has fixed direction. If B and C vary in such a way that (BD) (CD)=2, then locus of vertex A will be a straight line. a)parallel to side BC b)perpendicular to side BC c)making an angle (pi/6) with BC d)making an angle sin^(-1)(2/3) with B C

In triangle A B C ,R(b+c)=asqrt(b c),w h e r eR is the circumradius of the triangle. Then the triangle is a)isosceles but not right b)right but not isosceles c)right isosceles d)equilateral

In Delta ABC , right angle is at B,AB = 5cm and angle ACB =30^(@) Determine the lengths of the sides BC and AC.

In a triangle A B C prove that a//(a+c)+b//(c+a)+c//(a+b)<2

Show that the line joining the incenter to the circumcentre of triangle ABC is inclined to the side BC at an angle tan^(-1) ((cos B + cos C -1)/(sin C - sin B))