If the base of a triangle and the ratio of tangent of half of base angles are given, then identify the locus of the opposite vertex.

If on a given base B C , a triangle is described such that the sum of the tangents of the base angles is m , then prove that the locus of the opposite vertex A is a parabola.

The sides of a triangle are in the ratio 1: sqrt3:2. Then the angles are in the ratio

The angles of a triangle are in the ratio 1:3:5 then the greatest angle is

If on a given base BC[B(0,0) and C(2,0)], a triangle is described such that the sum of the base angles is 4, then the equation of the locus of the opposite vertex A is parabola whose directrix is y=k. The value of k is _________ .

If the angles of triangle are in the ratio 4 :1:1 , then the ratio of the longest side to the perimeter is

The angles of a triangle are in the ratio 1:2:3, find the measure of each angles of the triangle.

If the angles of a triangles are in the ratio 3 : 4: 5 then the ratio of the largest side to the smallest side of the triangle is

If the cotangents of half the angles of a triangle are in A.P., then prove that the sides are in A.P.