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Please help. Solve the triangle. Round ans to the nearest tenth.

Please Help Solve The Triangle Round Ans To The Nearest Tenth class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  • C = 21°
  • a = 13.3
  • c = 5.4

Step-by-step explanation:

The third angle can be found from the sum of angles in a triangle.

  A + B + C = 180°

  C = 180° -62° -97°

  C = 21°

__

The remaining side lengths can be found using the Law of Sines.

  a/sin(A) = b/sin(B)

  a = sin(62°)(15/sin(97°)) ≈ 13.34

Similarly, ...

  c/sin(C) = b/sin(B)

  c = sin(21°)(15/sin(97°)) ≈ 5.42

The remaining side lengths are approximately ...

  a ≈ 13.3

  c ≈ 5.4

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