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27 September, 04:46

For triangle JKL, angle JKL measures 90 degrees, and side JL has a length of 260 centimeters. If side JK > side KL, which of the following could be a combination of the lengths of sides JK and KL50 / 100 / 120 / 200 / 240.

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  1. 27 September, 07:32
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    100/240/260 will be the combination.

    Step-by-step explanation:

    In a right angle triangle JKL,

    ∠JKL = 90° and side JL is the hypotenuse of the triangle.

    By Pythagoras theorem,

    JK² + KL² = JL²

    Since JL = 260

    Therefore, (JK) ² + (KL) ² = (260) ² = 67600

    In the given options, square of two numbers total becomes 67600.

    And the possible numbers will be 100 and 240.

    (100) ² + (240) ² = 10000 + 57600 = 67600

    Since side JK > side KL

    Therefore, measure of JK = 240 cm, KL = 100 cm and JL = 240 cm could be the combination among all values.
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