Respuesta :
[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{12}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{13^2-12^2}=b\implies \sqrt{25}=b\implies 5=b[/tex]
Answer:
5
Step-by-step explanation:
a^2 + b^2 = c^2
13 is the hypotenuse because it is the longest side.
12^2 + b^2 = 13^2
144 + b^2 = 169
subtract the 144 from both sides to isolate the variable you are solving for
b^2 = 25
Square root both sides to solve
b = 5
