an isosceles right triangle has area 8 cm2. find the length of its hypotenuse

Question

an isosceles right triangle has area 8 cm2. find the length of its hypotenuse

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Anna 1 month 2021-08-17T19:16:53+00:00 2 Answers 0 views 0

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    0
    2021-08-17T19:18:27+00:00

    Answer:

    hope it helps

    Step-by-step explanation:

    Both the perpendicular and base are equal in length.

    So Area of triangle = 1/2 x b x h

    Let b = h = y

    1/2 x y x y = 8

    y² = 16

    y = 4

    So Perpendicular = Base = 4 cm

    Now by Pythagoras theorem,

    4² + 4² = √ 16+ 16 = √32 = 4√2 cm

    So required hypotenuse = 4√2 cm

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    🙂

    0
    2021-08-17T19:18:39+00:00

    kindly check the attachment for the stepwise solution and answer.

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