Question

question
in △lmn, ∠l≅∠n, mn = 7 and nl = 10. find lm.

Explanation:

Step1: Identify the triangle type

Since $\angle L\cong\angle N$ in $\triangle LMN$, $\triangle LMN$ is an isosceles triangle. In an isosceles triangle, the sides opposite the congruent angles are equal.

Step2: Determine the equal - sides

The sides opposite $\angle L$ and $\angle N$ are $MN$ and $LM$ respectively.

Step3: Find the length of $LM$

Given $MN = 7$, and since $LM=MN$ (sides opposite congruent angles in an isosceles triangle), then $LM = 7$.

Answer:

$7$