the hypotenuse of right triangle is 25cm.the difference between the length of the other two sides of the triangle is 5cm.find the length of

Question

the hypotenuse of right triangle is 25cm.the difference between the length of the other two sides of the triangle is 5cm.find the length of these sides

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Raelynn 1 month 2021-08-14T05:27:56+00:00 1 Answer 0 views 0

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    2021-08-14T05:29:17+00:00

    Answer:

    Length of Shorter side = 15 cm

    Length of Longer side = 20 cm

    Hope it helps

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    Step-by-step explanation:

    Let the length of the shorter side be x cm.

    Then, the length of the shorter side = (x+5) cm

    By Pythagoras theorem,

    {x }^{2} + (x + 5) ^{2} = {25}^{2}

    ⇒ {x}^{2} + {x}^{2} + 10x + 25 = 625

    ⇒ 2 {x}^{2} + 10x – 600 = 0

    ⇒ {x}^{2} + 5x – 300 = 0

    ⇒ (x + 20)(x – 15) = 0

    This gives x = 15 or x = – 20

    Rejecting x = -20, we get x = 15

    Length of Shorter side = 15 cm

    Length of Longer side = 20 cm

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