Triangle $X Y Z$ is right-angled at vertex $Z$ . Calculate the length of $Y Z$ , if $X Y = 13 c m$ and $X Z = 12 c m$ .

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Solution

applying pythogerous theorm
$h y p o t e n u s e^{2} = b a s e^{2} + h e i g h t^{2}$
$13^{2} = b a s e^{2} + 12^{2}$
$b a s e^{2} = 13^{2} - 12^{2} = 25 = 5^{2}$
so $b a s e = 5$
$∴ Y Z = 5 c m$

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