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The triangle is right-angle so we are allowed to use the Pythagorean theorem.
According to the Pythagorean theorem :
[tex] ({XZ})^{2} = ({XY})^{2} + ({YZ})^{2} [/tex]
[tex] {65}^{2} = {56}^{2} + ( {YZ})^{2} [/tex]
[tex] {65}^{2} - {56}^{2} = ({YZ})^{2} [/tex]
[tex]( {YZ})^{2} = 1089[/tex]
[tex]YZ = \sqrt{1089} [/tex]
[tex]YZ = 33[/tex]
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