Question

Calculate the value of x on the diagram (a) 9m2 (b) 16m2 (c) 5m (d) 3m (e) 4mpls check the attachment for the diagram

Answer 1

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-

`AC^2=AB^2+BC^2`

Substituting the values-

`\begin{gathered} X^2=(3M)^2+(4M)^2 \\ X^2=9M^2+16M^2 \\ X=√(25M^2) \\ X=5M \end{gathered}`

Final Answer: Option C is correct.