Прямі CM, CN, CF попарно перпендикулярні, CM=4см, MF=5см, NC=3см. Тоді відрізок NF має довжину:
- The triangle CMN is a right triangle, since two of its sides (CM and CN) are perpendicular to each other.
- Using the Pythagorean theorem, we can find the length of the third side, which is CF.
- CF^2 = CM^2 + CN^2 = 4^2 + 3^2 = 16 + 9 = 25
- Therefore, CF = 5 cm.
- Since MF is a side of the right triangle CMF, we can find the length of NF using the Pythagorean theorem again.
- NF^2 = CF^2 + MF^2 = 5^2 + 5^2 = 25 + 25 = 50
- Therefore, NF = √50 ≈ 7.07 cm.