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Pythagorean theorem and special triangle

Total questions: 10

Worksheet time: 26mins

Name
Class
Date
1.
Find the missing side
a)
37
b)
17.66
c)
6
d)
312
2.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
3.
The pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
4.
What are u and v in this 30-60-90 triangle?
a)
v = 2√3 u = 6
b)
v = 4 u = 4√3
c)
v = 4 u = 4√2
d)
v = 4√3 u = 8√3
5.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
6.

Find y.

a)

1

b)

2

c)

2√3

d)

4√3

7.
Find x.
a)
12
b)
√2
c)
√3
d)
6
8.

Rationalize the denominator:
4121\frac{\sqrt{4}}{\sqrt{121}}  

a)

411\frac{4}{11}  

b)

484121\frac{\sqrt{484}}{121}  

c)

211\frac{2}{11}  

d)

2121121\frac{2\sqrt{121}}{121}  

9.

Rationalize the denominator: 57\frac{5}{\sqrt{7}}  

a)

577\frac{5\sqrt{7}}{7}  

b)

357\frac{\sqrt{35}}{7}  

c)

757\frac{7\sqrt{5}}{7}  

d)

357\frac{35}{7}  

10.

Expand and simplify

5(3+2)\sqrt{5}\left(3+\sqrt{2}\right)  

a)

35+73\sqrt{5}+\sqrt{7}  

b)

35+103\sqrt{5}+10  

c)

35+103\sqrt{5}+\sqrt{10}  

d)

35+73\sqrt{5}+7