Have your homework out when the bell rings.
Pg. 227 (4-7, 9-10, 19-20) 4. y = 17 5. Deneb = 64° Altair = 36° Vega = 80° 6. 69.2° 7. (90 – y)° 9. 28° 10. 41° 19. 162° 20. 61°
Angle & Leg Relationships
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
The longest leg will be across from the largest angle.
Put the sides in order from shortest to longest. 60° 70° 30° B C A 70° BC , AC , AB 30° 60°
Put the angles in order from smallest to largest. Z ,Y ,X Y X Z 17 21 14 X Z Y
Triangle Inequality Theorem The sum of the smallest two legs must be greater than the length of the largest leg.
CAN THE FOLLOWING SIDE LENGTHS CREATE A TRIANGLE?
7, 9, 15 Yes, 7 + 9 > 15
3, 8, 12 No, 3 + 8 < 12
10, 11, 21 No, 10 + 11 = 21
13, 15, 9 Yes, 13 + 9 > 15
7, 7, 14 No, 7 + 7 = 14
2, 2.5, 4 Yes, 2 + 2.5 > 4
3, 3, 4 Yes, 3 + 3 > 4
What are the possible side lengths for the missing side of a triangle with two legs having the length of 6 and 10?
What are the possible side lengths for the missing side of a triangle with two legs having the length of 3 and 9?
What are the possible side lengths for the missing side of a triangle with two legs having the length of 5 and 12?
Angle & Leg Relationships worksheet Homework Angle & Leg Relationships worksheet