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Let the base be x and the height be x because their lenghts will be the same as it is a 45-45-90 triangle:

1/2*base*height = area

1/2*x*x = 32

1/2*x2 = 32

Multiply both sides by 2 and then square root both sides:

x = 8 cm

Use Pythagoras' theorem:

82+82 = 128 and the square root of this is 11.3137085

Therefore: hypotenuse = 11.314 cm correct to 3 decimal places

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Q: What is the hypotenuse of a 45-45-90 triangle with an area of 32 sq cm?
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