If the median to the base of a triangle is perpendicular to the base, then triangle is isosceles.

If the median of a triangle through A is perpendicular to AB, then

If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.

If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.

Prove using vectors: The median to the base of an isosceles triangle is perpendicular to the base.

If the bisector of the vertical angle of a triangle bisects the base of the triangle. then the triangle is isosceles. GIVEN : triangle A B C in which A D is the bisector of angle A meeting B C in D such that B D=DC TO PROVE : triangleA B C is an isosceles triangle.

Each of equal sides of an isosceles triangles is 4 cm greater than its height. It the base of the triangle is 24 cm. Calculate the perimeter and the area of the triangle.

If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.

If the area of triangle ABC is 21, and the length of the height minus the length of the base equals 1, which of the following is equal to the base of the triangle ?

Each of equal sides of an isosceles triangle is 4 cm greater than its height. If the base of the triangle is 24 cm, calculate the perimeter and the area of the triangle.

Through the centroid of an equilateral triangle, a line parallel to the base is drawn. On this line, an arbitrary point P is taken inside the triangle. Let h denote the perpendicular distance of P from the base of the triangle. Let h_(1) and h_(2) be the perpendicular distance of P from the other two sides of the triangle . Then :