8.2 - Special Right Triangles

8.2 - Special Right Triangles

By Steve Dull

Objective

Open Ended

Determine the value of x in the diagram. Express your answer as a radical in simplest form.

​So it turns out you do not need to use the Pythagorean Theorem for a 45-45-90 triangle. You can use the pattern to determine the side lengths.

Multiple Choice

Determine the value of each variable. Express your answer as an integer or in simplest radical form.

• $$x=8,\ y=8$$  

• $$x=8,\ y=8\sqrt[]{2}$$  

• $$x=8\sqrt[]{2},\ y=8\sqrt[]{2}$$  

• $$x=8,\ y=16$$  

Let's try another one

With a hook...

Open Ended

Determine the value of each variable.

Let's look at what just happened:

Rationalizing The Denominator

Let's try one:

Open Ended

Determine the length of x and y.

One more:

Open Ended

Determine the values of x and y.

Independent practice:

Complete #10 - 24 on the back side of your notes page. This will stand as your daily work points for the day.