trianle ABC is similar to JKL. If AB=17, BC=24, AC=32, and KL=96, find the lengths of the remainging sides of triangle JKL.

1 thought on “trianle ABC is similar to JKL. If AB=17, BC=24, AC=32, and KL=96, find the lengths of the remainging sides of triangle JKL.”

1. Answer:

   traingle ABC is similar to traingle JKL

   therefore,

   AB/JK=BC/KL ( BY THALES THEOREM )

   17/JK=24/96

   17/JK=1/4

   JK= 68

   NOW,

   AB/AC=JK/JL

   17/32=68/JL

   • therefore, JL=68 * 32 /17
   • jl= 128

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