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Posted by on Wednesday, August 31, 2011 at 2:54pm.

the length of the diagonals of a rhombus are 24cm and 32cm. the perimeter of the rhombus is
(A) 9cm
(B) 128cm
(C) 80cm
(D) 56cm
plz do explain how to find.
thank you

  • maths - , Wednesday, August 31, 2011 at 3:10pm

    A rhombus is made up of four right angle triangles.

    http://www.coolmath.com/reference/rhombus.html

    The two sides of each triangle are 12 cm and 16 cm.

    Use the Pythagorean Theorem to find the hypotenuse of each triangle, which is also the side of the rhumbus.

    a^2 + b^2 = c^2
    12^2 + 16^2 = c^2

    144 + 256 = c^2
    400 = c^2
    20 = c

    4 * 20 = perimeter of rhombus

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