# Isosceles Triangles

- Author:
- Rett McBride

An

*isosceles*triangle is has exactly two sides of equal length. (An equilateral triangle as three sides of equal length.## Triangle ABC is a dynamic isosceles triangle.

## Question 1:

Re-position the vertices several times. Which sides of triangle ABC **always** have equal length? (Select two)

## Lengths of sides

## Question 2

Position the vertices so that they have integer coordinates. Confirm your answer to Question 1 by calculating the lengths of the two sides that you selected. Are they in fact the same? Hint: the distance formula follows. You can check your answers by clicking on the "Show lengths of sides" box in the applet.

## Question 3:

The measure of angle ACB is given. What is the measure of angle CAB? Angle ABC?