Question

find the unknown length y in the following figure
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Answer 1

Answer:

$we \: shall \: use \: the \: pythagorean \: formula \: to \: solve \: it \: \\ \\{ \boxed{ \red{ {base}^{2} + {perpendicular}^{2} = { hypotenuose}^{2} }}} \\ \\ {y}^{2} + {5}^{2} = {13}^{2} \\ \\ {y}^{2} = {13}^{2} - {5}^{2} \\ \\ {y}^{2} = 169 - 25 \\ \\ {y}^{2} = 144 \\ \\ {y}^{2} = {12}^{2} \\ \\ { \boxed{ \huge{ \pink{y = 12}}}}$