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.

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.

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Elliana 3 months 2021-07-31T14:38:44+00:00 1 Answers 0 views 0

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    2021-07-31T14:40:35+00:00

    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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