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77julia77 [94]
3 years ago
6

Find x from this triangle

Mathematics
1 answer:
algol [13]3 years ago
7 0

Hello,

we are going to use the theorem of the bissectrice. (if this word is good in english)

\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}

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