Question

congruent triangles (topic 5)
what is the perimeter of $jklm$? (type only the number.)
perimeter of $jklm=$

Explanation:

Step1: Identify congruent sides

Since the two triangles are congruent, corresponding sides are equal. Let's assume the congruent - side relationships. If we consider the side - length correspondence, we know that the sides of the two triangles match up. Let the sides of the first triangle be \(a,b,c\) and the second be \(a',b',c'\) such that \(a = a'\), \(b = b'\), \(c = c'\).
In \(\triangle{JKM}\) and \(\triangle{KLM}\), we can see that the non - common sides of the two congruent triangles are given. Let's assume that the side corresponding to the side of length 9 in \(\triangle{KLM}\) in \(\triangle{JKM}\) has length 9, and the side corresponding to the side of length 12 in \(\triangle{KLM}\) in \(\triangle{JKM}\) has length 12.

Step2: Calculate the perimeter

The perimeter \(P\) of the quadrilateral \(JKLM\) is the sum of the lengths of its four sides. The lengths of the sides are 9, 12, 9, 12.
\[P=9 + 12+9 + 12\]
\[P = 42\]

Answer:

42