One leg of a right triangle has length 7 and all sides are whole numbers. find the lengths of the other two sides.

The other 2 sides have lengths 24 and 25.

Step-by-step explanation:

h^2 = x^2 + 7^2 where x is the other leg and h is the hypotenuse.

h^2 - x^2 = 49

(h + x) (h - x) = 49

The factors of 49 are 1 , 7 , and 49.

h + x could be 49 and h - x could be 1:

(25 + 24)(25 - 24) = 49.

So h = 25 and x = 24.

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