Right Triangles (Ch 7)
Find the value of x.
45o
5√2
x
45o
x
10
5√2
2.5
5
Find the value of x.
x
√2
4
2
1
2√2
√2
8
8
8
What is the height of this
triangle?
4
8
8√3
4√3
Which expression gives the correct length forXW in the diagram below?
X
45o
Y
Z
5
30o
5 + 5√3
5 + 5√2
5√3 + 5√2
5 + 10
W
68
Find the unknown side length.
60
x
x = 
75 and 85 are lengths of two sides of a righttriangle and form a Pythagorean triple.Find the length of the third side and tell whether it is a leg or the hypotenuse.
42; leg
42; hypotenuse
86; hypotenuse
40; leg
What is the length of the hypotenuse of a 
right triangle with leg lengths of 8 inches
and 15 inches?
21 inches
25 inches
13 inches
17 inches
What type of triangle has side lengths of 
4, 7 and 9?  
Right scalene
Obtuse scalene
None of the above
Acute scalene
Which side lengths do not form a right triangle?
5, 12, 13
10, 24, 28
15, 36, 39
50, 120, 130
A
Find the length of AC.
7 in
B
C
7√2 in
2√7 in
7√2 
√14 in
2
in
Which side lengths do NOT represent a 
30-60-90 triangle?
 5 ,  5√3  , 10 
 1  , √3 , 1
2
2
2
2
√2, √6, 2√2
3, 3√3, 6
20
Which expression can be used to find the 
value of x?
x
40o
x =   20
x =   20
x = 20•tan 40o
x = tan 40o
tan 50o
tan 40o
20
X
Find sin X and sin Y.  Write each as a fraction.
17
15
Y
Z
8
sin Y = 
sin X = 
What is the approximate value of x in the 
triangle?  Round to the nearest tenth.
0.4
2.7
7.5
19.2
32o
12
x
x
Find the value of x and y.  
Round to the nearest tenth.
71o
5
y
x = 
y = 
In ∆PQR, which expression can be used
to find PQ?
  10
  10
10 • sin 29o
10 • cos 29o
cos 29o
sin 29o
P
29o
Q
10
R
Which expression is correct?
L
K
J
sin -1 JL = m∡J
tan -1 KL = m∡J
cos -1 JL = m∡K
sin -1 JL = m∡K
JK
KL
JK
JL
Find the measure of ∡A.  Round to the nearest
tenth degree.
B
C
6
10
A
m ∡A = 
o
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