Given the base of a triangle and the ratio of the tangent of half the base angles .Show that the vertex moves on a hyperbola whose foci are the extremities of a diameter

If the base of a triangle and the ratio of the lengths of the other two unequal sides are given,then the vertex lies on

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.

Base of a right angled triangle is

If the median drawn on the base of a triangle is half its base, the triangle will be:

To construct a triangle, given its perimeter and its two base angles.

The vertex angle of an isosceles triangle is 80^(@) , Find ot the measure of base angles .

If on a given base BC, a triangle is described sungles is m, sum of the that that of the base anples is m, then prove that the locus of the opposite vertex A is a parabola.

Observe the figures given below and write the type of the triangle based on Its angles.