1. Have your homework out when the bell rings.

3. Pg. 227 (4-7, 9-10, 19-20) 4. y = 17 5. Deneb = 64° Altair = 36°
Vega = 80° °
7. (90 – y)°
9. 28°
10. 41° °
20. 61°

4. Angle & Leg Relationships

5. Hinge Theorem
As the angle is between two legs of a triangle increase, so does the leg opposite that angle.
60° 9 15 13
15° 9 15 8

6. The longest leg will be across from the largest angle.

7. Put the sides in order from shortest to longest.
60°
70°
30° B C A
70° BC
, AC
, AB
30°
60°

8. Put the angles in order from smallest to largest.Z
,Y
,X Y X Z 17 21 14 X Z Y

9. Triangle Inequality Theorem
The sum of the smallest two legs must be greater than the length of the largest leg.

10. CAN THE FOLLOWING SIDE LENGTHS CREATE A TRIANGLE?

11. 7, 9, 15
Yes,
7 + 9 > 15

12. 3, 8, 12
No,
3 + 8 < 12

13. 10, 11, 21
No,
= 21

14. 13, 15, 9
Yes,
> 15

15. 7, 7, 14
No,
7 + 7 = 14

16. 2, 2.5, 4
Yes,
> 4

17. 3, 3, 4
Yes,
3 + 3 > 4

18. What are the possible side lengths for the missing side of a triangle with two legs having the length of 6 and 10?

19. What are the possible side lengths for the missing side of a triangle with two legs having the length of 3 and 9?

20. What are the possible side lengths for the missing side of a triangle with two legs having the length of 5 and 12?

21. Angle & Leg Relationships worksheet
Homework
Angle & Leg Relationships worksheet