To apply the Pythagorean Theorem to find the distance between points A and C, we need to know the coordinates of points A and C or the lengths of the two legs of a right triangle formed by points A, B, and C.
The Pythagorean Theorem states that for a right triangle:
\[ c^2 = a^2 + b^2 \]
where:
- \( c \) is the length of the hypotenuse (the distance between points A and C),
- \( a \) and \( b \) are the lengths of the other two sides (the distances along the axes).
If you can provide the coordinates or any other relevant information about the points, I can help you determine which of the given options (24 units, 50 units, 74 units, or 98 units) is the correct distance between points A and C.