ILL GIVE BRAINLIEST PLS HELP ASAP
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Answer:
Unknown length = 12
Step-by-step explanation:
Using the Pythagorean Theorem: [tex]a^{2} +b^{2} = c^{2}[/tex]
Let a = 5, b = unknown value, and c = 13
Plug in values:
[tex]5^{2} + b^{2} =13^{2} \\b^{2} =13^{2} -5^{2}\\b = \sqrt 13^{2} - 5^{2} \\b = 12[/tex]