To find the value of \( x \) in right triangle \( MNP \) with altitude \( MO \), we can use the property of right triangles regarding the altitude drawn to the hypotenuse. This property states that:
\[ MO^2 = NO \cdot OP \]
where \( N \) and \( P \) are the vertices at the base (along the hypotenuse), and \( O \) is the foot of the altitude dropped from vertex \( M \).
Without specific numbers from the image or additional information about the lengths involved in triangle \( MNP \), I cannot perform the calculation. However, if you provide me with the lengths of \( MO \), \( NO \), and \( OP \) or the relationship or coordinates between points \( M \), \( N \), and \( P \), I can help you derive the value of \( x \) from there.