1. 7-3 Special Right Triangles
Honors Geometry
April 8, 2013

2. Warm Up State if the triangle is acute, right or obtuse
Is it possible to have an isosceles right triangle?

3. This week
Quiz Tuesday!
Pythagorean Theorem; Acute vs. Right vs. Obtuse Triangles; Triangles; Triangles; Simplifying Radicals
Vocab Quiz Thursday!
Vocab List was given out before spring break! On my website!
Test Friday!

4. Agenda Warm Up Discovery Activity – Special Right Triangles
7-3 Special Right Triangles Notes
Examples
Homework

5. Discovery Activity Complete in your groups
As a group, read through the worksheet and answer all questions
You will be using your prior knowledge to answer questions and discover patterns
Always attempt to do the problems and try new things with your group before asking for assistance
When you are finished, have 1 student in your group report your findings to Ms. Wilson

6. 7-3 Special Right Triangles 45-45-90
If the measures of the angles of a triangle are 45, 45, and 90, then the triangle is an isosceles right triangle

7. Triangle
What pattern did you notice while working with Triangles?
The legs of a Triangle are congruent
the hypotenuse is times as long as a leg

8. Example 1
Find the value of x and y
y=12, x=12sqrt(2)

9. Example 2 Find the value of x and y
Label sides, n n and n rt 2, solve for n

10. Triangles
In a Triangle we have a short leg, long leg, and hypotenuse
Hypotenuse
Long Leg
Short Leg

11. Triangles
How can we find the lengths of the sides of a Triangle?
If we use reflection, what type of triangle do we have?
Equilateral
The value of m must be…? 2
Now we can work backwards to find n n=
Extend to an equilateral triangle, which means all sides are now 2. Can now work backwards to find altitude

12. 30-60-90 Triangles What pattern do we have with 30-60-90 Triangles?
In a 30o-60o-90o Triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is times as long as the shorter leg

13. Example 3
Find the value of x and y

14. Example 4
Find the value of x and y
Label sides!

15. Classwork
Complete Evens or Odds from worksheet

16. Homework
Complete worksheet