cravetyler4986 cravetyler4986
  • 14-09-2022
  • Mathematics
contestada


In Δ ABC, m ∠ B=26°, a=20 in., and c=10 in. Find b .

Respuesta :

Medunno13
Medunno13 Medunno13
  • 14-09-2022

Answer:

[tex]b = 10\sqrt{5-4\cos 26^{\circ}}[/tex]

Step-by-step explanation:

Using the Law of Cosines,

[tex]b^2 = a^2 + c^2 - 2ac \cos B \\ \\ b^2 = 20^2 + 10^2 - 2(20)(10)\cos 26^{\circ} \\ \\ b=\sqrt{500-400\cos 26^{\circ}} \\ \\ =10\sqrt{5-4\cos 26^{\circ}}[/tex]

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