Given:
Given that two triangles. A triangle has a base A and height 8 centimeters.
Another triangle has a base of 3 centimeters and height of 4 centimeters.
We need to determine the length of side A.
Length of side A:
Since, these two triangles are similar, let us use the property of similarity of triangles to determine the length of side A.
Thus, we have;
[tex]\frac{8}{4}=\frac{A}{3}[/tex]
Multiplying both sides of the equation by 3, we have;
[tex]\frac{8 \times 3}{4}=A[/tex]
Simplifying, we get;
[tex]6=A[/tex]
Thus, the length of side A is 6 centimeters.
Hence, Option d is the correct answer.