The diagonals of a parallelogram are of lengths 6 cm and 8 cm. If the diagonals are perpendicular to each other, find the area and the perimeter of the parallelogram.
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As one of the sides is it's a pythagorean triplet so the diagonals are perpendicular bisectors of each other and hence parallelogram is a rhombus. Since 8*6 = 48 => one of the sides is the height as area parallelogram = Base * Height! ... Hence tha area is 8 x 6 = 48 sq cm.
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