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