Geometry HELP

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In a rhombus, one diagonal has a length of 10 cm and the area is 120 cm2. Find the length of one side.
a.)10cm
b.)12cm
c.)13cm

  • Geometry HELP -

    A rhombus has equal side lengths. The two intersecting diagonals create four congruent right triangles of area 30 cm^2 each.
    Let side length = a

    30 = (1/2)*5* sqrt(a^2 -5^2)
    12 = sqrt(a^2 -25)
    144 = a^2 -25
    a^2 = 169
    a = 13

    The length of the other diagonal is
    2*sqrt[(13^2 - 5^2)] = 24 cm

    Interesting problem!

  • Geometry HELP -

    This is an interesting problem:) Thanks!!

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