Have your homework out when the bell rings.

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Presentation transcript:

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