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18 June, 21:06

Median MH is 6 units longer than median KP triangle GHI is similar to triangle JKL. If GH:JK=7:5, find the length of KP

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  1. 18 June, 21:11
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    If GHI and JKL are similar with the proportion of 7/5 (reduction), that means all the elements of GHI & JKL have the same reduction ratio (median, Altitude, etc.)

    Then HM/KP = 7/5. But we are given that HM = KP+6, so:

    (KP+6) / KP = 7/5. Now cross multiplication:

    5 (KP+6) = 7KP

    5KP + 30 = 7KP

    30 = 2KP and KP = 15
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