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QZ-Right Triangle Review (8.1-8.3)

Total questions: 35

Worksheet time: 3hrs 55mins

Name
Class
Date
1.
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
2.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
3.
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.
4.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
5.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
6.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
7.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
8.
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
9.
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
10.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
11.
I have been given the long leg in this 30-60-90 triangle.  How do I find the short leg?
a)
Multiply 7 by 2
b)
Multiply 7 by √3
c)
Divide 7 by 2
d)
Divide 7 by √3
12.
A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.
a)
134.4
b)
67.2
c)
95√2
d)
(95√2)/2
13.
You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)
a)
32√3
b)
16√3
c)
32
d)
16√2
14.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
15.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
16.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
17.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
18.

Determine the value of x.

a)

x = 10√2

b)

x = 10

c)

x = 5√3

d)

x = 5√6

19.

Determine the value of x.

a)

x = 8√2

b)

x = 16√2

c)

x = 16

d)

x = 8√6

20.
A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?
a)
9.19
b)
18.38
c)
5.10
d)
13
21.

Find the value of x.

a)

17.9 km

b)

13.9 km

c)

24 km

d)

Dang! I wish I had been paying attention in class.

22.

What kind of triangle do the three side lengths form?

10 cm, 49.5 cm, 50.5 cm

a)

Obtuse

b)

Acute

c)

Right

d)

They don't form a triangle.

23.

What kind of triangle is this? (Do the math!!!)

a)

Obtuse

b)

Acute

c)

Right

d)

They don't form a triangle.

24.

Find the missing side length.

a)

2√4

b)

2√2

c)

4

d)

I don't know. These problems make me want to scream.

25.

Find the value of x.

a)

15

b)

20

c)

48

d)

80

26.

Find the value of x.

a)

20

b)

36

c)

48

d)

60

27.

Find the value of x.

a)

12

b)

60

c)

64

d)

80

28.

Find the value of x.

a)

12

b)

20

c)

25

d)

60

29.

Find the value of x.

a)

15

b)

36

c)

60

d)

80

30.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
31.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
32.

Classify the triangle as acute, obtuse, or right. 7, 15, 21

a)

Obtuse

b)

Right

c)

Acute

33.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
34.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
35.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

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