Cheyennemechelle2003 Cheyennemechelle2003
  • 20-11-2020
  • Mathematics
contestada

Consider a triangle with two sides that
measure 7 cm and 11 cm forming an angle
that measures 100°.

Find the length of the third side to the nearest centimeter
A) 12 cm
B) 13 cm
C) 14 cm
D) 15 cm

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 20-11-2020

9514 1404 393

Answer:

  C)  14 cm

Step-by-step explanation:

A triangle solver can quickly show you the third side is 14 cm.

__

The law of cosines can be used for this purpose. If the given sides are 'a' and 'b', and the third side is 'c', then that law tells you ...

  c² = a² +b² -2ab·cos(C)

  c² = 7² +11² -2·7·11·cos(100°) ≈ 196.74

  c ≈ √196.74 ≈ 14.03

The length of the third side is about 14 cm.

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