In a right-angled triangle MNP, angle N = 90 degrees, MN = 6 cm. Through point M, line MK

In a right-angled triangle MNP, angle N = 90 degrees, MN = 6 cm. Through point M, line MK is drawn, parallel to line NP. How much is the distance between lines MK and NP?

By hypothesis, the angle N = 90 °, which means MN ∟ NP, while MK // NP, from here it follows that NM ∟ MK. That is, MN is a common perpendicular to two parallel straight lines. We need to find the distance between these lines, it is just equal to the common perpendicular, according to the problem statement MN = 6 cm.
Answer: 6 cm.