Answer:
16.6
Step-by-step explanation:
a = 14
b = 9
c = x
a² + b² = c²
14² + 9² = x²
196 + 81 = x²
x² = 277

x = 16.6
The missing reason to complete Hector's proof is
<span>Corresponding Parts of Congruent Triangles Are Congruent
It's been established in the previous statement that triangle LNO and triangle PNM are congruent by the AAS Postulate.
The proof
</span>Corresponding Parts of Congruent Triangles Are Congruent
is comprehensive.