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Arisa [49]
4 years ago
15

If line ML is a midsegment of triangle IJK, find KJ

Mathematics
2 answers:
Inga [223]4 years ago
8 0
<span>A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.

</span>ML= \frac{1}{2}KJ \ \ \to \ \  KJ = 2ML = 2*12 = 24<span>
</span>
laila [671]4 years ago
4 0
So what we're dealing with here is a similar triangle situation. Since ML is a midsegment, that means that IL and LJ are congruent. So, IL=LJ=13. This means that the whole side IJ is 26 (13+13=26). We also know that triangle IML and triangle IKJ are similar triangles, so their sides are proportional. This means that we can set up the ratio:
12/13 = x/26
and solve for x.
After multiplying 26 to both sides of the equation, we find that x=24, so KJ=24.
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