Question

1) The diagonal of a square is 16 cm. Find its side.
(A)82 cm (B)16v2 cm (C8y4 cm
(D)164 cm
cm​

Answer 1

Answer:

Step-by-step explanation:

all the angles of a square is right angle therefore the diagonal forms the hypotenuse of the 2 sides

therefore by Pythagoras theorem ,

$side^{2} +side^{2} = hypotenuse^{2}$

therefore let the side of square be x

$x^{2} +x^{2} =16^{2}$

2$x^{2}$ =$16^{2}$

$2x^{2} =256$

$x^{2} =128$

$x=\sqrt 128$

$x = 8\sqrt2$

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