Given: A right triangle ABC with sides AB=3M and BC=4M.
Required: To determine the side length of AC.
Explanation: The side AC=X can be determined by joining B to C and considering the triangle ABC as a right-angled triangle.
Now using the Pythagoras Theorem, we can write-
[tex]AC^2=AB^2+BC^2[/tex]
Substituting the values-
[tex]\begin{gathered} X^2=(3M)^2+(4M)^2 \\ X^2=9M^2+16M^2 \\ X=\sqrt{25M^2} \\ X=5M \end{gathered}[/tex]
Final Answer: Option C is correct.
