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Please help need HELP ASAP

Please help need HELP ASAP-example-1

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The apothem must satisfy x/y = z/y so:

30/y = y/40

cross multiply

y^2 = 1200

y = 1200^.5


x^2 = 1200 + 900

x^2 = 2100

x = 2100^.5


z^2 = 1600 + 1200

z^2 = 2400

z = 2400^.5


x = 2100^.5, y = 1200^.5, z = 2400^.5

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