The locus of vertices of all isosceles triangles having a common base.

Sketch and describe the locus of the vertices of all triangles with a given base and a given altitude.

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

Find the area of an isosceles triangle having the base x\ c m\ and one side y\ c m

The vertical angle of an isosceles triangle is 100^0dot Find its base angles.

The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm is

Prove that the straight line joining the vertex of an isosceles triangle to any point in the base is smaller than either of the equal sides of the triangle.

The vertical angle of an isosceles triangle is twice the sum if its base angles. Find each angle of the triangle.

The ratio between the base angle and the vertical angle of an isosceles triangle is 2:5 . Find each angle of the triangle.

Find the area of an isosceles triangle having the base 6 cm and the length of each equal side 5 cm.

The given figure shows two isosceles triangles ABC and DBC with common base BC. AD is extended to intersect BC at point P. Show that: Delta ABD = Delta ACD (ii) Delta ABP = Delta ACP (iii) AP bisects angle BDC (iv) AP is perpendicular bisector of BC.