9514 1404 393
Answer:
x = 2
NK = 16
Step-by-step explanation:
The Pythagorean theorem can be used to find LN:
LN² +LC² = NC²
LN² = NC² -LC² = 65^2 -63^2 = 256
LN = √256 = 16
LN = NK = 16 . . . . each of NM, LN, NK is the inradius, so they are congruent
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LN = NM = 8x = 16
x = 2
