WAEC - Mathematics (2012 - No. 16)

In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
/XY/ + /YZ/ = /XZ/
/XY/ - /YZ/ = /XZ/
/XY/2 = /Y/2 - /XY/2
/YZ/2 = /XZ/2 + /XY/2

Explanation

/YZ/\(^2\) = /XZ/\(^2\) + /XY/\(^2\)

(Verify using Pythagoras' theorem)

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