Special Right Triangles

Special Right Triangles

Agenda

• ALEKS Warm-Up

• Special Triangles Discovery / Lesson

• Special Triangles Practice

• Mastery Time

Open Ended

If you cut a square in half diagonally, what are the measures of the angles of the 2 triangles created?

Multiple Choice

True or False: All 45-45-90 triangles are similar.

• True

• False

True!

• So, we know that all 45-45-90 triangles are just scaled up or down from lengths of 1, 1, and square root of 2.

3!

Open Ended

If draw a perpendicular bisector on an equilateral triangle, what are the measures of the angles of the 2 triangles created?

Open Ended

What would the ratio between the short leg and the hypothenuse be? (Think about the side lengths of an equilateral triangle?

Multiple Choice

True or False: All 30-60-90 triangles are similar.

• True

• False

True!

• So, we know that all 30-60-90 triangles are just scaled up or down from lengths of 1, 2, and

   $\sqrt{3}$