Given a right-angled triangle MKN angle M-45 degrees leg NK-4 angle-90 degrees. Find MK, MN.
| January 28, 2021 | education
Leg NK is opposite to corner M.
The ratio of the opposite leg to the adjacent leg is equal to the tangent of the angle:
tg M = KN / MK.
Hence MK = KN / tg M = 4 / tg 45 ° = 4/1 = 4.
The ratio of the opposite leg to the hypotenuse is equal to the sine of the angle:
sin M = KN / MN.
Hence, MN = KN / sin M = 4 / sin 45 ° = 4 / (1 / √2) = 4√2.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
