Special Right Triangles

Take a square…

Find its diagonal Here it is

Find its length x d x

x d x

Summarize the pattern:

45 o -45 o -90 o leg leg leg

6 6 6

Practice:

8 8 8

5 5 5

2

Now Let’s take an Equilateral Triangle…

… Find its Altitude

x x x a

x x a

Summarize the pattern:

30 o -60 o -90 o Hypotenuse Longer leg Shorter Leg

30 o -60 o -90 o Hyp. ½ Hyp.

30 o -60 o -90 o

Practice:

Review Both Patterns:

45 o -45 o -90 o leg leg leg

30 o -60 o -90 o Hyp. ½ Hyp.

Mixed Practice:

8 8 8

4 4

2