1. SWBAT: - Review for the final exam
Final Exam Review
SWBAT:
- Review for the final exam

2. Triangle Inequality Theorem
AB + AC > BC
AB + BC > AC
AC + BC > AB B C

3. Triangle Inequality Theorem
Biggest Side Opposite Biggest Angle
Medium Side Opposite
Medium Angle
Smallest Side Opposite
Smallest Angle A 3 5 B C
m<B is greater than m<C

4. Triangle Inequality Theorem
Converse is true also
Biggest Angle Opposite _____________
Medium Angle Opposite
______________
Smallest Angle Opposite
_______________ B C A 65 30
Angle A > Angle B > Angle C
So CB >AC > AB

5. Example: Determine if the following lengths are legs of triangles
B) 9, 5, 5
We choose the smallest two of the three sides and add them together. Comparing the sum to the third side:
? 9
9 > 9
? 9
10 > 9
Since the sum is not greater than the third side, this is not a triangle
Since the sum is greater than the third side, this is a triangle

6. Possible value for the 3rd side

7. Tests for Acute, Obtuse or Right Triangles:
In triangle
ABC, if c is the longest side of the triangle, then
Relations of sides 
 Type of Triangle
 c2 < a2+ b2
 Acute
 c2 = a2+ b2 
 Right
  c2 > a2+ b2
 Obtuse

9. Triangle

11. Triangle

12. SOH-CAH-TOA