Question

Find x from this triangle

Answer 1

Hello,

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

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