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which equation can be used to find the unknown length, a, in this trian…

Question

which equation can be used to find the unknown length, a, in this triangle?

\\(a^2 + 15^2 = 17^2\\)
\\(15^2 + 17^2 = a^2\\)
\\(a^2 + 15 = 17^2\\)
\\(a + 15^2 = 17^2\\)

Explanation:

Identify the sides of the right triangle

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Apply the Pythagorean theorem

$$ a^2 + 15^2 = 17^2 $$

Answer:

  • (A) \(a^2 + 15^2 = 17^2\) (Correct answer)
  • (B) \(15^2 + 17^2 = a^2\)
  • (C) \(a^2 + 15 = 17^2\)
  • (D) \(a + 15^2 = 17^2\)