The perimeter of a rhombus is 52 cm if one of its diagonal is 24 cm find length of other diagonal
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Answer:
one diagonal = 120 cm and other diagonal = 10 cm is the answer
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Diagonals of a rhombus bisect each other at 90 degrees
Half of each diagonal and one side would for a right angled triangle with the side of the rhombus as the hypotenuse
One side is 52cm/4 = 13cm
Half of given diagonal is 5cm
Half of the other diagonal is √(13² - 5²) = 12cm
The other diagonal is 12cm×2 = 24cm
Area of rhombus = half product of diagonals = (1/2) × 10cm × 24cm = 120cm²
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