What is the length, in units, of the shortest possible diagonal of a rectangle with all integer side lengths and perimeter 26 units?Express your answer in simplest radical form.
+128475 If the perimeter is 26....the length and width sum is 1/2 of this = 13
So.....using the Pythagorean Theorem
L W
12 1 produces a diagonal of √ [12^2 + 1^2] = √145
11 2 = √[11^2 + 2^2 ] = √125
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7 6 ≈ √ [ 7^2 + 6^2 ] = √85
And this is the shortest diagonal possible for the given conditions
