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Kuta Software - Infinite Geometry
Name___________________________________
Special Right Triangles
Date________________ Period____
Find the missing side lengths. Leave your answers as radicals in simplest form.
1)
2)
b
2 2
45°
4
a
45°
x
y
3)
4)
3 2 45°
2
45°
x
x
3 2
y
y
5)
6)
2 6
45°
6
y
45°
y
x
x
7)
8)
x
y
u
2
60°
30°
16
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v
-1-
Worksheet by Kuta Software LLC
9)
10)
v
8 5
60°
8
y
60°
u
11)
x
12)
x
10
5 3
x
60°
60°
y
y
13)
14)
u
y
v
45°
8 2
12
x
30°
15)
16)
11 3
a
b
30°
60°
b
a
3
17)
18)
7
2 2
m
a
45°
n
60°
b
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Special Right Triangles
Date________________ Period____
Find the missing side lengths. Leave your answers as radicals in simplest form.
1)
2)
b
2 2
45°
4
a
45°
x
y
a = 4, b = 2 2
3)
x = 2 2, y = 2 2
4)
3 2 45°
2
45°
x
x
3 2
y
x = 3, y =
y
x = 6, y = 3 2
3 2
2
5)
6)
2 6
45°
6
y
45°
y
x
x
x = 2 3, y = 2 3
x = 3 2, y = 3 2
7)
8)
x
y
u
2
60°
30°
16
v
x = 8 3, y = 8
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u = 4, v = 2 3
-1-
Worksheet by Kuta Software LLC
9)
10)
v
8 5
60°
8
y
60°
u
x = 4 15, y = 4 5
u = 16, v = 8 3
11)
x
12)
x
10
5 3
x
60°
60°
y
y
x = 10, y = 5
x = 5 3, y = 5
13)
14)
u
y
v
45°
8 2
12
x
30°
u = 8, v = 8
x = 8 3, y = 4 3
15)
16)
11 3
a
b
30°
60°
a=
b
a
3
3 3
3
, b=
2
2
17)
a = 22, b = 11
18)
7
2 2
m
a
45°
n
60°
b
a=
6, b =
m=
2
7 2
7 2
, n=
2
2
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
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