Question

Find the length of YZ.

Answer 1

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The triangle is right-angle so we are allowed to use the Pythagorean theorem.

According to the Pythagorean theorem :

`({XZ})^(2) = ({XY})^(2) + ({YZ})^(2)`

`{65}^(2) = {56}^(2) + ( {YZ})^(2)`

`{65}^(2) - {56}^(2) = ({YZ})^(2)`

`( {YZ})^(2) = 1089`

`YZ = √(1089)`

`YZ = 33`

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