cyrusM3SO
contestada

27
C
A
54
B
Based on the diagram, which expresses all possible
lengths of segment AB?
OAB = 25
27 AB = 85
O AB< 27 or AB > 81

27 C A 54 B Based on the diagram which expresses all possible lengths of segment AB OAB 25 27 AB 85 O ABlt 27 or AB gt 81 class=

Respuesta :

Medunno13

Answer: 27<AB<81

Step-by-step explanation:

We can generalize the triangle inequality theorem to say that the sum of the lengths of the two shorter sides must be greater than the length of the longest side.

Case 1: AB is the longest side

[tex]27+54 > AB\\AB < 81[/tex]

Case 2: BC is the longest side

[tex]27+AB > 54\\AB > 27[/tex]

So, [tex]\boxed{27 < AB < 81}[/tex]

Ver imagen Medunno13

Sum of any two sides must be greater than third one

Sum of rest two

  • 27+54
  • 81

AB must be greater than 85

Option C

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