Regents Exam Questions G.G.34: Angle Side Relationship
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Name: __________________________________
G.G.34: Angle Side Relationship: Determine either the longest side of a triangle
given the three angle measures or the largest angle given the lengths of three sides
of a triangle
1 On the banks of a river, surveyors marked locations A, B, and C. The measure of
and the measure of
.
Which expression shows the relationship between the lengths of the sides of this triangle?
1)
2)
3)
4)
2 In
1)
2)
3)
4)
,
3 In
1)
2)
3)
4)
,
,
, and
. Which statement is false?
4 In
,
,
, and
lengths of the sides of this triangle?
1)
2)
3)
4)
5 In
1)
2)
3)
4)
,
. Which inequality is true?
and
. Which expression correctly relates the
. Which inequality is true?
Regents Exam Questions G.G.34: Angle Side Relationship
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6 In scalene triangle ABC,
from longest to shortest?
1)
,
,
2)
,
,
3)
,
,
4)
, ,
and
. What is the order of the sides in length,
7 In
,
and
is greater than
order from smallest to largest are
1)
,
,
2)
, ,
3)
,
,
4)
,
,
8 In
1)
2)
3)
4)
,
in
and
is an obtuse angle. Which statement is true?
is the longest side.
is the longest side.
is the shortest side.
is the shortest side.
and
and
and
and
9 In
,
,
smallest to largest?
1)
2)
3)
4)
10 In
,
be true?
1)
2)
3)
4)
,
11 In
1)
2)
3)
4)
,
,
. The lengths of the sides of
, and
, and
, and
. Which list has the angles of
in order from
. Which statement about the angles of
. Which statement is true?
must
Regents Exam Questions G.G.34: Angle Side Relationship
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12 For which measures of the sides of
1)
2)
3)
4)
13 As shown in the diagram of
If
1)
2)
3)
4)
,
14 In
,
,
line segment is shortest?
1)
2)
3)
4)
, and
is angle B the largest angle of the triangle?
below, B is a point on
and
, what is the longest side of
, and B is a point on side
, such that
is drawn.
?
. Which
15 In the diagram below of
with side
extended through D,
and
. Which side of
is the longest side? Justify your answer.
Regents Exam Questions G.G.34: Angle Side Relationship
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Name: __________________________________
16 As shown in the diagram below,
,
, and
is a diagonal of trapezoid STAR,
.
Determine and state the longest side of
17 In
of
,
.
,
,
.
, and
. Determine the longest side
Regents Exam Questions G.G.34: Angle Side Relationship
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1
2
3
4
5
6
7
8
9
10
11
12
13
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
3
2
1
2
4
4
REF:
REF:
REF:
REF:
REF:
060629a
061321ge
081524ge
060911ge
011222ge
REF: 011115ge
ANS: 1
REF: 061523ge
ANS: 2
REF: 081306ge
ANS: 4
Longest side of a triangle is opposite the largest angle. Shortest side is opposite the smallest angle.
REF: 081011ge
ANS: 1
REF: 061010ge
ANS: 2
REF: 011510ge
ANS: 1
REF: 011416ge
ANS: 1
REF: 081219ge
14 ANS: 2
REF: 081422ge
15 ANS:
REF: 080934ge
16 ANS:
REF: 061430ge
17 ANS:
Regents Exam Questions G.G.34: Angle Side Relationship
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.
REF: 011337ge
.
is the largest angle, so
in the longest side.