In the diagram below, KM=5 and MN=3

The required answers to the question is given below.
Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.
Use the following figure to understand the answer.
The Proof is
1. KM=KO=5 (GIven)
2. MN=3 (Given)
3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)
4. KL=8 (Given)
5. KL=KN (from 3,4 substitution)
6. NO=ML=9 (Given)
7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.
Learn more about congruence of triangles here-
brainly.com/question/20521780
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