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Optional EC Practice - Unit 8 Practice Part A

Total questions: 60

Worksheet time: 3hrs 18mins

Name
Class
Date
1.

The missing side is

a)

a leg

b)

the hypotenuse

2.

The hypotenuse is the longest side of the right triangle.

a)

true

b)

false

3.

Which of these measures is the length of the hypotenuse?

a)

5

b)

13

c)

12

4.

Find the measure of the hypotenuse.

a)

10

b)

15

c)

13

d)

10.44

5.

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

a)

6

b)

7

c)

3

d)

49

e)

9

6.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

7.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

8.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

9.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
10.

The Pythagorean Theorem is

a2 - b2 = c2

a)

false

b)

true

11.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
12.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
13.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

14.

Sides a and b are called legs.

a)

true

b)

false

15.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

16.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
17.

Find the length of the missing side

a)

48

b)

108

c)

83.6

d)

72

18.
Do three squares with side lengths of 6, 12, and 13 form a right triangle?
a)
Yes
b)
No
19.
Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.
a)
No, because 10+11 does not equal 13
b)
No, because 100+121 does not equal 169
c)
Yes, because there is a small side, medium side and long side
d)
Yes, because a triangle has 3 sides
20.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
21.

State if the triangle is acute, obtuse or right. Why?

a)

Obtuse because 62+72<102

b)

Obtuse because 62+72>102

c)

Acute because 62+72>102

d)

Acute because 62+72<102

e)

Right because 62+72=102

22.

8,14,16 acute, right or obtuse

a)

acute

b)

right

c)

obtuse

23.
Which set of side lengths form a right triangle?
a)
3, 4, 7
b)
33, 56, 65
c)
66, 72, 97
d)
10, 15, 25
24.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

25.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
26.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

27.
What is the formula for Pythagorean theorem?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
28.

Do the sides 3,5,7 form a triangle?

a)

Yes

b)

No

29.

Given sides of 3,5,7: What type of triangle do they form?

a)

Right

b)

Acute

c)

Obtuse

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.
Find x.
a)
30°
b)
60°
c)
90°
d)
180°
33.
Find x.
a)
30°
b)
45°
c)
60°
d)
90°
34.
Find x.
a)
90°
b)
45°
c)
30°
d)
60°
35.
Find x.
a)
45°
b)
90°
c)
30°
d)
60°
36.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
37.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
38.
Find x.
a)
10
b)
20
c)
10√3
d)
√3
39.
Find x.
a)
12
b)
√2
c)
√3
d)
6
40.

What is the measure of side c?

a)

7

b)

72\frac{7}{\sqrt{2}}

c)

7√2

d)

14

41.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
42.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
43.

Find the missing side length. Leave your answer in simplified radical form.

a)

v=22v=2\sqrt{2}

b)

v=2v=2

c)

v=4v=4

d)

2\sqrt{2}

44.

Find the missing side length. Leave your answer in simplified radical form.

(a)  

45.
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
46.
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.
47.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
48.
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
49.
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
50.

Find the value of x.

a)

2

b)

434\sqrt{3}

c)

4

d)

232\sqrt{3}

51.
Find a.
a)
2√3
b)
2
c)
12
d)
6
52.

Determine the value of c.

a)

c = 6√3

b)

c = 12√3

c)

c = 18

d)

c = 18√2

53.

Find the value of x.

a)

636\sqrt{3}

b)

9

c)

333\sqrt{3}

d)

6

54.

What is the shortest side of

ΔABC\Delta ABC  ?

a)

AC

b)

BC

c)

AB

55.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
56.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
57.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
58.

Find x. Round to the 10ths place (one decimal place) if necessary.

(a)  

59.

What is the height of the TV? Round to the 10ths place (one decimal place) if necessary.

(a)  

60.

A ramp on a moving truck makes a  30°30\degree  angle with the ground. What is the length of the ramp if it is 5 ft tall? Round to the 10ths place (one decimal place) if necessary.



(a)  

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