SOLUTION
This is a right-angled triangle problem, and to solve for an unknown side, we will apply the Pythagoras theorem.
Pythagoras theorem states:
[tex]\text{hypotenuse}^2=opposite^2+adjacent^2[/tex]From the question:
Hypotenuse = 13in
Opposite = 5in
Adjacent = b
Substituting all these paramenters into the equation above:
[tex]\begin{gathered} 13^2=5^2+b^2 \\ 13^2-5^2=b^2 \end{gathered}[/tex][tex]\begin{gathered} 169-25=b^2 \\ 144=b^2 \\ \text{Take the square root of both sides} \\ \sqrt[]{144\text{ }}=\text{ }\sqrt[]{b^2} \\ 12=b \end{gathered}[/tex]The value of b is 12 in
