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In △ABC, m∠A=45°, c=17, and m∠B=25°. Find a to the nearest tenth. law of sines 4

Sagot :

sqdancefan

9514 1404 393

Answer:

  a ≈ 12.8

Step-by-step explanation:

To find 'a' using the law of sines, we need the measure of the angle opposite a given side. Here, that would be angle C.

  C = 180° -A -B = 180° -45° -25° = 110°

Now, we can find 'a' to be ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) = 17·sin(45°)/sin(110°)

  a ≈ 12.7923

  a ≈ 12.8 . . . . rounded to tenths

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