Isosceles triangle #shorts

In a right-angled isosceles triangle, the ratio of the circumradius and inradius is

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 1 1/2 times the corresponding sides of the isosceles triangle.

Show that the bisector of vertical angle of an isosceles triangle bisects the base at right angles.

As shown in the figure, charges and are placed at the vertices and of an isosceles triangle. The potential at the vertex A is

Area of an isosceles triangle

Symmetry of an isosceles triangle