24lafrance 24lafrance
  • 10-01-2022
  • Mathematics
contestada

Can the sides of a triangle have lengths 1.8, 3.8, and 1.2?

Respuesta :

hochunyung94 hochunyung94
  • 10-01-2022

Answer:

No

Step-by-step explanation:

Use the triangle inequality theorem to check if it is possible:

[tex]1.8+3.8=5.6>1.2\\1.2+3.8=5.0>1.8\\1.2+1.8=3.0>3.8[/tex]

The third inequality is false, thus concluding that it is not possible for a triangle to have lengths of 1.8, 3.8, and 1.2.

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