Question 1189850
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Let x be the diagonal length, in inches.


Then the legs are (x-1) inches and (x-2) inches.


Pythagorean equation

    x^2 = (x-1)^2 + (x-2)^2.


Simplify and find x

    x^2 = x^2 - 2x + 1   +   x^2 - 4x + 4

    0   =     x^2 - 6x + 5


Factor

    (x-5)*(x-1)  = 0


The roots are 5 and 1;  but only 5 gives the solution to the problem.


So, the hypotenuse is 5 inches;  the legs are  5-1 = 4 inches and 5-2 = 3 inches.


The dimensions of the small TV screen are 3 inches by 4 inches.
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Solved.