WorksheetsSpecial Right Triangles 1/12
Total questions: 32
Worksheet time: 3hrs 40mins
Name
Class
Date
1.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
2.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
3.
Find x.
a)
30°
b)
60°
c)
90°
d)
180°
4.
Find x.
a)
30°
b)
45°
c)
60°
d)
90°
5.
Find x - the length of the hypotenuse of the triangle.
a)
5
b)
5√2
c)
10
d)
5√3
6.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
7.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
8.
What is the measure of side c?
a)
7
b)
7/√2
c)
7√2
d)
14
9.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
10.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
11.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 6 y = 3√2
12.
How long is e?
a)
3
b)
6
c)
6√3
d)
6√2
13.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
14.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
15.
Find x.
a)
22
b)
11√3
c)
11√2
d)
11
16.
Find a.
a)
12
b)
24
c)
24√3
d)
16
17.
Find the value of x.
a)
18
b)
18√3
c)
36√3
d)
12
18.
Use the 45-45-90 theorem to solve for the hypotenuse.
a)
16
b)
8
c)
8√2
d)
√16
19.
What is the shortest distance between 3rd and 1st?
a)
60
b)
60√2
c)
30√2
d)
120
20.
What is the exact side length of a square that has a diagonal of 18?
a)
9
b)
18√2
c)
9√2
d)
√2
21.
Find EF.
a)
4
b)
2√2
c)
1
d)
2
22.
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
23.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
24.
The hypotenuse of a right triangle measures 19 meters. One leg measures 15 meters. To the nearest tenth of a meter, what is the length of the other leg?
a)
17.0 meters
b)
24.2 meters
c)
11.7 meters
d)
14.3 meters
25.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
26.
Which equation can be used to solve for "x"?
a)
152 – x2 = 212
b)
x2 – 152 = 212
c)
152 + 212 = x2
d)
212 – 152 = x2
27.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
28.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
29.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
30.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
31.
a= 12, b= 35, c= ? Find c
a)
32
b)
37
c)
19
d)
20
32.
c= 97, b= 72, a=?
a)
35
b)
75
c)
65
d)
55
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