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Do the length,breadth and the diagonal of a rectangle satisfy pythagoras theorem? Why?
As per the property of rectangles the length and breadth (width) are at right angles(perpendicular) to each other. Keeping this property in mind, the diagonal can be found by applying the Pythagoras theorem, as the length, breadth and diagonal together form a right-angled triangle(diagonal being the hypotenuse).
Let the length, breadth and diagonal of the rectangle be $l, b$ and $d$ then,
$d^2=l^2+b^2$
$d=\sqrt{l^2+b^2}$
Updated on: 10-Oct-2022
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