in the diagram below of triangle JKL,M is a midpoint of JK and N is a midpoint of KL.If MN=22-3x, and JL=3x+8, what is the measure of MN?

asked Feb 18, 2023 184k views

1 vote

by Hans

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1 vote

By theorem the following is true:

So, we solve for x:

$\Rightarrow44-6x=3x+8$
$\Rightarrow9x=36\Rightarrow x=4$

Now, we replace in the function that describes MN:

$MN=22-3x\Rightarrow MN=22-3(4)$
$\Rightarrow MN=10$

FelixRabe answered Feb 23, 2023

4.8k points

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