in a square ABCD diagonals of AC equal to 5X + 2 and BD equal to 7x-8 cm AC is equal to ​

Question

in a square ABCD diagonals of AC equal to 5X + 2 and BD equal to 7x-8 cm AC is equal to ​

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Iris 2 days 2021-09-14T13:07:00+00:00 1 Answer 0 views 0

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    2021-09-14T13:08:10+00:00

    Answer:

    In given figure ABCD is a rectangle.

    ⇒  OA=2x+4 and OD=3x+1               [Given]

    ⇒  AC and BD are diagonals of a rectangle.

    ⇒  We know that diagonals of rectangle are equal.

    ⇒  So, AC = BD

    We can also write it as,

    ⇒  2×OA=2×OD

    ⇒  $$2\times(2x+4)= 2\time (3x+1)

    ⇒  2x+4=3x+1

    ∴   x=3

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