Construction - Isosceles Triangle - I

A triangle in which two sides are equal is called an isosceles triangle. In an isosceles triangle , angles opposite to the equal sides are equal. 

The following construction of an isosceles triangle is based on the property that the perpendicular drawn, from the vertex where two equal sides meet, to the third side bisect the third side.

Following are the steps of construction :

1. Mark points A and B. 
2. Draw line segment AB. 
3. Draw the perpendicular bisector of segment AB. 
4. Mark any point C on the perpendicular bisector. 
5. Draw line segment AC. 
6. Draw line segment BC. 

Triangle ABC is the required isosceles triangle. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com