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Law Incorporation [45]
3 years ago
15

A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third​ side?

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

  • The third side must be between 10cm and 14 cm

Step-by-step explanation:

Let the third side be x

<u>Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:</u>

  • 2 + 12 > x ⇒ x < 14
  • 2 + x > 12 ⇒ x > 10
  • x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive number

<u>Combined together we have:</u>

  • 10 < x < 14

The third side must be between 10cm and 14 cm

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