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The sides of a right triangle are in the ratio 3 : 4 : 5. The sine of its smallest angle is:

Competition practiceTrigonometry
  • A3/5
  • B4/5
  • C3/4
  • D5/3

Step-by-Step Solution

The smallest angle faces the shortest side, 3k. The hypotenuse is the longest side, 5k, so the sine of that angle is 3k/5k = 3/5. Choosing 3/4 uses the adjacent side instead of the hypotenuse.
Answer: A) 3/5

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