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Elanso [62]
3 years ago
14

Which one is better? Knight or bishop? Why? (Chess)

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer: It depends on the position.

Step-by-step explanation: Knights are better in closed positions and bishops are better in open positions. So they are better than the other in different scenarios.

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_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

  arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

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