Applying the definition of the altitude of a right triangle, LN = 7 units.
Altitude of a Right Triangle
Since the triangle shown is a right triangle, and KN = NM, therefore, LN = KN = NM.
Find KM using SOH:
sin 50 = KL/KM
sin 50 = 10/KM
KM = 10/sin 50
KM = 13.1
LN = KN = NM = 13.1/2
LN = 7 units.
Therefore, applying the definition of the altitude of a right triangle, LN = 7 units.
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