Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81

Sagot :

All possible lengths of segment AB wil be 27 < AB < 81.Option b is correct

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Any two triangle sides' lengths added together are longer than the third side's length.

The triangular inequality theorem is applied in three ways;

1.

AC+BC > AB

27+54 > AB

81 > AB

2.

27+AB > 54

AB> 54-27

AB > -27

3.

54+AB > 27

AB > 27-54

AB > -27

All possible lengths of segment AB wil be 27 < AB < 81.

Hence option b is correct

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

#SPJ1

View image poojatomarb76
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.