Find the length of YZ.

Question

asked Jan 27, 2021 186k views

1 Answer

Razvan Alex · Answer 1 · 2021-02-03T02:55:15+0000

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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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