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bearhunter [10]
2 years ago
10

By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the th

ird side? A) 7 < x < 18 B) 7 < x < 19 C) 8 < x < 18 D) 8 < x < 19
Mathematics
2 answers:
murzikaleks [220]2 years ago
5 0
1. You have that two sides of a triangle have lengths of 6 and 13. Then, by the <span>Triangle Inequality Theorem, you have:

 a+b>c
 a+c>b
 b+c>a

 3. Therefore, you have:

 a=6
 b=13

 c<a+b
 c<6+13
 c<19

 4. The difference between a and b should be lesser that c. Then

 a-b<c
 13-6<c
 7<c

 5. Therefore:

 c=x

 7<x<19

 The correct answer is the option B: </span> B. 7<x<19<span>

</span>
belka [17]2 years ago
4 0
The correct answer is the option B:  B. 7<x<19
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5 0
2 years ago
Can anyone please help me with this.
geniusboy [140]

Answer:


Step-by-step explanation:

Givens

The triangle is equilateral.                         Given

<K = < M = 60                                             Property of an equilateral triangle.

IE = IE                                                           Reflexive property

Proof

  • <IEK = <IEM  = 90                                  Property of perpendicular
  • <EIK = 180 - 60 - 90                              All triangles have 180 degrees
  • <EIK = 30                                               Subtraction
  • <MIK = 180 - 60 - 90                             All triangles have 180 degrees
  • <MIK = 30                                              Subtraction
  • <MIE = <KIE                                           Both = 30 degrees
  • IE = IE                                                     Reflexive property
  • <IEK = <MEI                                            Both are right angles.
  • ΔMIK ≡ΔKIE                                            ASA
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2 years ago
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