31.What is the length of the hypotenuse , if the area of an isosceles right triangle is as given below. * AREA = 8cm²

Question

31.What is the length of the hypotenuse , if the area of an isosceles right triangle is as given below. *
AREA = 8cm²

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Melanie 1 week 2021-09-10T21:00:04+00:00 1 Answer 0 views 0

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    2021-09-10T21:01:10+00:00

    Answer:

    Hope this will help u …..if yes then plz make me brainlist

    Step-by-step explanation:

    Given, area of an isosceles right triangle = 8 cm2

    Area of an isosceles triangle = 1/2 (Base x Height)

    ⇒  8 = 1/2 (Base x Base)

    [∴ base = height, as triangle is an isosceles triangle]

    ⇒ (Base)2 =16 ⇒  Base= 4 cm

    In ΔABC, using Pythagoras theorem

    AC2 = AB2 + BC2 = 42 + 42 = 16 + 16

    ⇒ AC2 = 32 ⇒  AC = √32 cm

    [taking positive square root because length is always positive]

    Hence, the length of its hypotenuse is √32 cm.

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