Concept
Name the sides and apply the Pythagoras theorem to find the third side.
Opposite = 12 cm
Hypotenuse = 14 cm
Adjacent = m
[tex]\begin{gathered} \text{Pythagoras theorem} \\ \text{Opposite}^2+Adjacent^2=Hypotenuse^2 \end{gathered}[/tex]Next,
Substituting opposite and hypotenuse to get the adjacent.
[tex]\begin{gathered} \text{Opposite}^2+Adjacent^2=Hypotenuse^2 \\ 12^2+m^2=14^2 \\ 144+m^2\text{ = 196} \\ \text{Next, collect like terms} \\ m^2\text{ = 196 - 144} \\ m^2\text{ = 52} \end{gathered}[/tex]Find the square root of both sides
[tex]\begin{gathered} \sqrt[]{m^2}\text{ = }\sqrt[]{52} \\ m\text{ = 7.211} \end{gathered}[/tex]Final answer
Other leg = 7.2 cm
