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In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of...

Mathematics
WAEC 2012

In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?

  • A. /XY/ + /YZ/ = /XZ/
  • B. /XY/ - /YZ/ = /XZ/
  • C. /XY/2 = /Y/2 - /XY/2
  • D. /YZ/2 = /XZ/2 + /XY/2
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Correct Answer: Option D
Explanation

/YZ/\(^2\) = /XZ/\(^2\) + /XY/\(^2\)

(Verify using Pythagoras' theorem)

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