Length of NF in a Right Triangle - советы от нейросети

Прямі CM, CN, CF попарно перпендикулярні, CM=4см, MF=5см, NC=3см. Тоді відрізок NF має довжину:

The length of NF is 4.4cm.

Explanation: Using the given information, we can construct a right triangle using CM, MF, and NC as the sides. Since CM and CF are perpendicular, we can use the Pythagorean theorem to find the length of CF. So we have:

CF² = CM² - MF²

CF² = (4cm)² - (5cm)²

CF² = 16cm² - 25cm²

CF² = 9cm²

CF = 3cm

Similarly, we can find the length of CN using the Pythagorean theorem:

CN²= CM² + NC²

CN²= (4cm)² + (3cm)²

CN²= 16cm² + 9cm²

CN²= 25cm²

CN = 5cm

Since we know that MF and NC are perpendicular, we can use the Pythagorean theorem again to find NF:

NF² = MN² + MF²

NF² = (5cm)² + (3cm)²

NF² = 25cm² + 9cm²

NF² = 34cm²

Finally, taking the square root of both sides, we get:

NF = √34cm ≡ 5.83cm ≈ 4.4cm