SOLUTION
This is a right-angled triangle and to solve for the unknown side we will use the Pythagoras theorem.
Given parameters:
Opposite side= 15
Adjacent side = 12
Hypotenuse side = x
Pythagoras theorem:
[tex]\text{hypotenuse}^2=opposite^2+adjacent^2[/tex]
Substituting the given parameters into the equation above, we will have:
[tex]\begin{gathered} x^2=15^2+12^2 \\ x^2=225+144 \\ x^2=369 \\ \sqrt[]{x^2}=\sqrt[]{369} \\ x=19.2094 \\ x=19.21(\text{to the nearest hundredth)} \end{gathered}[/tex]
Final answer: x = 19.21
