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RectangleFind the diagonal of a rectangle whose length is 8 inches and whose width is...

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leeaeel | Student, Undergraduate | (Level 2) Honors

Posted May 25, 2011 at 2:21 AM via web

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Rectangle

Find the diagonal of a rectangle whose length is 8 inches and whose width is 5
inches.

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted May 25, 2011 at 2:36 AM (Answer #2)

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Let d = diagonal, l = length, w = width
Since we know that the diagonal of the rectangle splits the rectangle into two right angle triangles, being the hypotenuse of both right angle triangles.
To compute it's length, we'll apply the Pythagorean identity:
d^2 = l^2 + w^2
d^2 = 64 + 25
d^2 = 89
d = sqrt 89 units
We'll reject the negative value, since a dimension cannot be negative.

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