30 60 90 45 45 90 PRACTICE EXAMPLES

30 – 60 – 90 & 45 – 45 -90 PRACTICE EXAMPLES BEST TUESDAY EVER!!!!

1 30 -60 -90 Triangles – Find x & h 60° h 2 x = 2√ 3 h=4 30° x

3 30 -60 -90 Triangles – Find x & h 60° h 2√ 2 x = 2√ 6 h = 4√ 2 30° x

4 30 -60 -90 Triangles – Find x & h x = 14√ 3 h = 28 h 60° 14 x 30°

8 45 -45 -90 Triangles – Find X x = 11√ 2 x 11

9 45 -45 -90 Triangles – Find X x 3√ 5 x = 1. 5√ 10 Or 3√ 10 2

5 30 -60 -90 Triangles – Find y & h 60° h y = 3√ 3 h = 6√ 3 y 30° 9

6 45 -45 -90 Triangles – Find X 5√ 2 x = 10 x

7 45 -45 -90 Triangles – Find X x = 6√ 6 6√ 3 x

11 45 -45 -90 Triangles – Find X x = 4√ 2 8 x

7 30 -60 -90 Triangles – Find x & y 30° x 6√ 3 60° y y = 3√ 3 x=9

6 30 -60 -90 Triangles – Find y & h y = 4√ 6 h = 8√ 6 30° h 60° y 12√ 2

8 30 -60 -90 Triangles – Find y & h y = 11 h = 22 30° h 60° 11√ 3 y

10 45 -45 -90 Triangles – Find X x = 13 13 x

9 30 -60 -90 Triangles – Find x & y 30° 3√ 5 60° x y y = 1. 5√ 5 Or 3√ 5 2 x = 1. 5√ 15 Or 3√ 15 2

11 30 -60 -90 Triangles – Find x & y y=4 x = 4√ 3 60° 8 y x 30°

2 45 -45 -90 Triangles – Find X x 12 x = 6√ 2

1 45 -45 -90 Triangles – Find X x = 2√ 2 2 x

12 30 -60 -90 Triangles – Find x & y 60° y 20 y = 10 x = 10√ 3 30° x

13 30 -60 -90 Triangles – Find x & h 60° h 14√ 3 x = 42 h = 28√ 3 30° x

2 30 -60 -90 Triangles – Find x & y 60° y 12 x y=6 x = 6√ 3 30°

16 30 -60 -90 Triangles – Find x & h 30° x h 60° ½ x = √ 3 2 h=1

10 30 -60 -90 Triangles – Find x & h 60° h 13 x x = 13√ 3 h = 26 30°

14 30 -60 -90 Triangles – Find x & y y=8 x = 8√ 3 60° 16 y 30° x

15 30 -60 -90 Triangles – Find x & y y = 5√ 2 x = 5√ 6 30° 10√ 2 60° y x

17 30 -60 -90 Triangles – Find x & y y = 15 x = 15√ 3 60° 30 y x 30°

5 45 -45 -90 Triangles – Find X x = 7√ 2 7 x

3 45 -45 -90 Triangles – Find X x 2√ 2 x=2

4 45 -45 -90 Triangles – Find X 14 x = 7√ 2 x

18 30 -60 -90 Triangles – Find x & h 60° h 1 x = √ 3 h=2 30° x

And we’re done… Good Job – Thank you for all your hard work today! Looking forward to tomorrow – remember HOMEWORK is due on Thursday!