The required measure of side MN will be 126.3 units.
Two triangles that have the same shape, an equal pair of corresponding angles, and the same ratio of corresponding sides are said to be similar triangles.
Similar triangles are those that resemble each other but might not be precisely the same size.
Given that triangle ΔIJK ~ ΔLMN in the question.
We are aware of similar triangles that have the same side ratio, equal pair of matching angles, and same shape.
We may express the ratio as follows using the triangle similarity rule:
⇒ KI / KJ = NL / MN
⇒ 19 / 40 = 60 / MN
⇒ MN = 60 × 40 / 19
⇒ MN = 126.3157
Rounded to the nearest tenth to get
⇒ MN = 126.3
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