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
x
y = 10
x = 10√3
30°
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°
h
60°
½
x
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
60°
16
y
x
y=8
x = 8√3
30°
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!