Question

in the diagram below, $\triangle mnj \cong \triangle knl$. find $n$.

write your answer as a whole number or a decimal. do not round.
$n = \square$ yards

Explanation:

Step1: Use Congruent Triangles Property

Since \(\triangle MNJ \cong \triangle KNL\), corresponding sides are equal. So, \(\frac{MN}{KN}=\frac{JN}{LN}\).

Step2: Substitute Values

We know \(MN = n\), \(KN = 68\), \(JN = 22.8\), \(LN = 38\). Substitute into the proportion: \(\frac{n}{68}=\frac{22.8}{38}\).

Step3: Solve for \(n\)

Cross - multiply: \(38n=68\times22.8\). Then \(n = \frac{68\times22.8}{38}\). Calculate \(68\times22.8 = 1550.4\), then \(n=\frac{1550.4}{38}=40.8\).

Answer:

\(40.8\)