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Find the Length of the Hypotenuse of a Square Whose Side is 16 Cm. - Geometry Mathematics 2

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प्रश्न

Find the length of the hypotenuse of a square whose side is 16 cm.

योग

उत्तर

ABCD is a square.
In right angled triangle Δ ABC,
`AC^2 = AB^2 + BC^2` ....(by Pythagoras theorem)
∴ `AC^2 = 16^2 + 16^2`
∴ `AC^2 = 256 + 256`
∴ `AC^2 = 512`
∴ `AC = 16sqrt2`

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2018-2019 (March) Balbharati Model Question Paper Set 1

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