Isosceles triangle

Properties of an isosceles triangle

1. In an isosceles triangle, the angles at the base are equal.
2. In an isosceles triangle the bisector, drawn to the base is the median and height.
3. In an isosceles triangle, the height drawn to the base is the median and the bisector.
4. In an isosceles triangle, the median drawn to the base is the bisector and height.
5. In an isosceles triangle, the bisectors, medians, and heights drawn from the vertices at the base are equal.

Signs of an isosceles triangle

1. If two angles in a triangle are equal, then this triangle is isosceles.
2. If the height of the triangle coincides with the median, then this triangle is isosceles.
3. If the height of a triangle coincides with the bisector, then this triangle is isosceles.
4. If in a triangle the bisector coincides with the median, then this triangle is isosceles.