# Right Triangles

1. “What makes a triangle a right triangle? How many different right triangles can be formed?”  Is it possible to get them all?   How does the Pythagorean Theorem help with find the length of sides?
2. Use the GeoGebra applet to explore the relationship between side lengths of 45-45-90 triangles and 30-60-90 triangles. Create three of each triangle and record their measurements in the chart below.

Angle A Angle B Angle C Side AB Side BC Side CA
(Hypotenuse)
Triangle 1
Triangle 2
Triangle 3
Triangle 4
Triangle 5
Triangle 6

Once all measurements have been recorded, proceed.   Is it true in all 6 triangles that $$AB^2+BC^2 = AC^2$$?