Solve the triangle. a = 10, b = 23, c = 95° (2 points) c ≈ 25.1, a ≈ 26.8°, b ≈ 58.2° c ≈ 25.1, a ≈ 22.8°, b ≈ 62.2° c ≈ 25.9, a ≈ 22.8°, b ≈ 62.2° c ≈ 25.9, a ≈ 59.2°, b ≈ 25.8°

c ≈ 25.9, A ≈ 22.8°, B ≈ 62.2°

Step-by-step explanation:

The Law of Cosines can be used to find the third side.

... c² = a² + b² - 2ab·cos(C)

... c² ≈ 100 +529 -2·10·23·cos(95°)

... c² ≈ 669.0916

... c ≈ √669.0916 ≈ 25.87

From the Law of Sines, we can find the remaining angles.

... sin(B)/b = sin(C)/c

... B = arcsin(b/c·sin(C)) ≈ 62.35°

These results are sufficient to make the appropriate answer choice.

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Comment on Answer Discrepancies

If the "c" used in the calculation of B is inappropriately rounded to 25.9, then the result for angle B is 62.21°. This is in error by more than 0.1°. Intermediate results should never be rounded, but should be carried to full calculator precision. Only final answers should be rounded.

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base