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Worksheets

Pythagorean Theorem & Special Right Triangles

Total questions: 13

Worksheet time: 3hrs 15mins

Name
Class
Date
1.

Calculate the value of c in the right triangle above.

a)

c = 9.00

b)

c = 41.00

c)

c = √41.00

d)

c = 3

2.

Calculate the value of h in the figure above.

a)

h = 35.60

b)

h = 35.00

c)

h = 35.71

d)

h = 61.03

3.

Find the length of the missing side of the right triangle above.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

4.

Calculate the value of y in the right triangle above.

a)

y = 45

b)

y = 5√2

c)

y = 90

d)

y = 5

5.

Calculate the value of x in the right triangle above.

a)

4√2

b)

4

c)

8

d)

4√3

6.

Which of the following represents the longer leg of the right triangle above?

a)

4

b)

u

c)

v

7.

Calculate the value of u and v in the right triangle above.

a)

u = 8, v = 4√3

b)

u = 4√2, v = 8

c)

u = 16, v = 8

d)

u = 4√3, v = 8

8.

Calculate the values of x and y in the right triangle above.

a)

x = 6, y = 3√3

b)

x = 3√2, y = 3

c)

x = 3√3, y = 6

d)

x = 3√3, y = 3√2

9.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
10.
In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
11.
I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
12.
I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
13.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c