10.
Let the measure of the third side be
n
.
57
1
32
¬
.
n
57
1
n
¬
.
32
32
1
n
¬
.
57
89
¬
.
n
or
n
,
89
n
¬
.2
25
n
¬
.
25
Graph the inequalities on the same number line.
n
¬
,
89
n
¬
.2
25
n
¬
.
25
Find the intersection.
The range of values that fit all three inequalities
is 25
,
n
,
89.
Inequalities Involving Two
Triangles
Pages 270–271
Check for Understanding
1.
Sample answer: A pair of scissors illustrates the
SSS inequality. As the distance between the tips
of the scissors decreases, the angle between the
blades decreases, allowing the blades to cut.
2.
The SSS Inequality Theorem compares the angle
between two sides of a triangle for which the two
sides are congruent and the third side is different.
The SSS Postulate states that two triangles that
have three sides congruent are congruent.
3.
In
n
BDC
and
n
BDA
,
B
w
C
w
>
A
w
D
w
,
B
w
D
w
>
B
w
D
w
, and
m
/
BDA
.
m
/
CBD
. The SAS Inequality Theorem
allows us to conclude that
AB
,
CD
.
4.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Inequalities, Harshad number, Binary relation, SAS Inequality, BD BD, sss inequality

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