Respuesta :

Answer:


Step-by-step explanation:

If the sides of square a and b are the legs of the right triangle, then we can use the quadratic equation to find the hypotenuse, which would be made with square c's length.

a^2 + b^2 = c^2

10^2 + 12^2 = c^2

100 + 144 = c^2

244 = c^2

[tex]\sqrt{244}[/tex] = c

Now since this is the side length, we then square that number to get the area.

[tex]\sqrt{244}[/tex] ^ 2 = 244 cm

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