chngkyn1
chngkyn1 chngkyn1
  • 29-03-2019
  • Mathematics
contestada

Find the length of side a. Round to the nearest tenth.

A) 12


B) 378.4


C) 18.3


D) 19.5

Find the length of side a Round to the nearest tenth A 12 B 3784 C 183 D 195 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 01-04-2019

Answer:

  D)  19.5

Step-by-step explanation:

The law of cosines gives you the relation ...

  a² = b² + c² - 2bc·cos(A)

Substituting the given values, you have ...

  a² = 13² + 11² - 2·13·11·cos(108°) ≈ 378.379

  a ≈ √378.379 ≈ 19.452 . . . . take the square root

  a ≈ 19.5

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