Answer:
LN ≈ 14.2
Step-by-step explanation:
Given that the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{LN}{IK}[/tex] = [tex]\frac{MN}{JK}[/tex] , substitute values
[tex]\frac{LN}{41}[/tex] = [tex]\frac{9}{26}[/tex] ( cross- multiply )
26 LN = 9 × 41 = 369 ( divide both sides by 26 )
LN = [tex]\frac{369}{26}[/tex] ≈ 14.2 ( to the nearest tenth )
