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1/2*base*height = 30

Multiply both sides by 2:

base*height = 60

The factors of 60 are: 1 2 3 4 5 6 10 12 15 20 and 30

The only factors that will comply with Pythagoras' theorem and the perimeter of the triangle are: 5 and 12

The dimensions are: hypotenuse = 13 cm, height = 12 cm and base = 5 cm

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