Question

in the diagram below, \\( \triangle j k l=\triangle m i l \\). find \\( y \\).
write your answer as a whole number or a decimal. do not round.
\\( y=\\) meters

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle JKL\cong\triangle MIL\), their corresponding sides are equal.

Step2: Set up the equation for the sides

We know that \(JL = IL + y\) and \(JL = ML\) (corresponding sides of congruent triangles). Also, \(ML = 27.8\) m and \(IL = 14.4\) m. So, \(y=ML - IL\).

Step3: Calculate the value of \(y\)

Substitute the values: \(y = 27.8-14.4\).
\(y=13.4\)

Answer:

\(13.4\)