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Answer Key
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Name
4
Click Here
Date
LESSON
Class
Practice B
5-3 Triangles
1. Find x in the right
triangle.
x°
2. Find y in the obtuse
triangle.
43°
3. Find m in the acute
triangle.
46°
49°
59°
y°
4. Find n in the obtuse
triangle.
5. Find w in the acute
triangle.
t°
37°
63°
7. Find t in the acute
triangle.
t°
51°
56°
10. Find t in the scalene
triangle.
49°
8. Find x in the right
triangle.
x°
11. Find x in the isosceles
triangle.
13. Find x in the isosceles
triangle.
x°
64°
r°
52°
12. Find n in the scalene
triangle.
x° x°
14. Find y in the equilateral
triangle.
y°
15. Find r in the isoceles
triangle.
r°
y°
x°
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
9. Find r in the obtuse
triangle.
n° 85°
42°
48°
37°
52°
99°
51°
t°
78°
47°
6. Find t in the right
triangle.
w°
108°
n°
m°
y°
29
r°
56°
Holt Middle School Math
MSM04G8_RESBK_Ch05_118-140
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3/12/03
12:16 PM
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Practice B
5-3 Triangles
Practice A
5-3 Triangles
LESSON
LESSON
1. Find x in the right
triangle.
Identify each triangle by its angles and sides.
1.
2.
70°
3.
64°
126°
27°
40°
70°
x°
27°
26°
acute, isosceles
41°
5. Find y in the right
triangle.
x°
40°
x°
9. Find m in the obtuse
triangle.
y°
80°
30°
42°
10. Find r in the right
triangle.
68°
45°
99°
51°
56°
73°
39°
10. Find t in the scalene
triangle.
29°
11. Find x in the isosceles
triangle.
12. Find n in the scalene
triangle.
n° 85°
42°
n°
10°
13. Find t in the isoceles
triangle.
48°
78°
x°
65°
n°
x°
n°
64°
40°
72°
t°
50°
t°
70°
40°
Holt Middle School Math
Practice C
5-3 Triangles
r°
r°
56°
y°
60°
62°
29
Holt Middle School Math
Reteach
5-3 Triangles
62°
Acute Triangle
3.
44°
n°
x°
59°
5.
6.
Obtuse Triangle
t°
C
c°
In the diagram: mA mB mC 180°
x°
64°
1 obtuse angle
Triangle Sum Theorem: The sum of the measures
of the three interior angles of any triangle is 180°.
2x °
m°
1 right angle
3 acute angles
60°
59°
Right Triangle
t°
t°
46°
31°
y°
LESSON
2.
118°
15. Find r in the isoceles
triangle.
y°
x°
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Find the value of each variable.
w°
14. Find y in the equilateral
triangle.
58°
LESSON
w°
53°
65°
28
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
x°
66°
13. Find x in the isosceles
triangle.
15. Find n in the isoceles
triangle.
68°
x° x°
37°
45°
63°
14. Find x in the scalene
triangle.
r°
52°
x°
72°
105°
65°
k°
45°
4.
t°
38°
9. Find r in the obtuse
triangle.
t°
r°
1.
52°
8. Find x in the right
triangle.
51°
12. Find n in the acute
triangle.
t°
49°
35°
25°
11. Find k in the obtuse
triangle.
w°
63°
55°
48°
74°
7. Find t in the acute
triangle.
100°
m°
47°
6. Find t in the right
triangle.
37°
40°
30°
8. Find y in the right
triangle.
70°
n°
110°
50°
65°
59°
m°
5. Find w in the acute
triangle.
108°
r°
y°
55° 60°
46°
91°
4. Find n in the obtuse
triangle.
6. Find r in the obtuse
triangle.
3. Find m in the acute
triangle.
y°
obtuse, isosceles
Find each angle measure.
7. Find x in the acute
triangle.
43°
49°
right, scalene
4. Find x in the acute
triangle.
2. Find y in the obtuse
triangle.
A
a°
b°
B
a° b° c° 180°
57°
30°
Complete to find the measure of the unknown angle.
7. The measure of the second angle in a triangle is four more than
the measure of the first angle and the measure of the third angle
is eight more than twice the measure of the first angle. Find the
measure of each angle.
1.
2.
C
x°
K
32°
A 58°
42°
first 42°; second 46°; third 92°
B
J
x ° 90°
L
Describe each statement as always, sometimes, or never true.
mA mB mC 180°
8. An obtuse triangle is a scalene triangle.
sometimes
58°
9. A scalene triangle is an isosceles triangle.
42°
100°
never
180°
x° x° 180°
x° x° 10. A right triangle is an isosceles triangle.
sometimes
3.
Y
Sketch a triangle to fit each description. If no triangle can be
drawn, write not possible. Possible answers:
12. obtuse, isosceles
13. right, scalene
14. acute, equilateral
35°
35°
30
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math
180°
180°
x° 58°
W
122°
U
x°
20°
V
Z
mX mY mZ 180°
mU mV mW 180°
x° 35° 35° 180°
x° 20° 122° 180°
x° 70° 180°
x° 142° 180°
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
123
90°
122°
4.
x° Copyright © by Holt, Rinehart and Winston.
All rights reserved.
32°
80°
X
x°
11. A triangle with all angles congruent is acute.
always
mJ mK mL 180°
x° 110°
x° 31
38°
Holt Middle School Math
Holt Middle School Math
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