Question

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.

Answer 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