mo, mn, and on are the midsegments of △jkl. what is the perimeter of △jkl? 6 9.5 11.5 19

Explanation:

Step1: Recall mid - segment theorem

The length of a mid - segment of a triangle is half the length of the side of the triangle it is parallel to.

Step2: Find side lengths of △JKL

If $MO = 4$, then the side of $\triangle JKL$ it is parallel to (say $JK$) has length $2\times4=8$. If $MN = 2$, then the side it is parallel to (say $KL$) has length $2\times2 = 4$. If $ON=3.5$, then the side it is parallel to (say $JL$) has length $2\times3.5 = 7$.

Step3: Calculate perimeter of △JKL

Perimeter $P=8 + 4+7=19$.

Answer:

19