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Kisachek [45]
2 years ago
8

You're given two side lengths of 6 centimeters and 9 centimeters. Which measurement can you use for the length of the third side

to construct a
valid triangle?
3 centimeters
10 centimeters
12 centimeters
14 centimeters
18 centimeters
Mathematics
1 answer:
professor190 [17]2 years ago
6 0

Answer:

Let's give names to the all sides a=6 , b=9 and c=?

Third sides of an triangle is determined by the following double  inequality, in this case b>a => b-a < c < b+a => 9-6 < c < 9+6 =>

3 < c < 15 => c belongs to the interval (3,15), let's take c=4, if we check for example side b => a>c => a-c < b < a=c => 6-4 < 9 < 6+4 =>

2 < 9 < 10 , inequality is true.

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Can someone help me?
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Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

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Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

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i) A\B

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ii) (A\B) \C

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iii) (A ∪ B) \ C

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= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

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= ⌀ ∩ ⌀

= ⌀

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= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

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