Inactive Tutor answered 03/22/19
3a3+4a3 +5a3 = 12a3
Allie M.
asked 03/22/19Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a to the 3rd power and 4a to the 3rd power
Inactive Tutor answered 03/22/19
3a3+4a3 +5a3 = 12a3
It appears to be a simple (3,4,5) Pythagorean triplet problem. If the legs are 3a3 and 4a3, the hypotenuse of this right triangle must be 5a3, and the perimeter is therefore the sum of the three sides or 12a3.
Note that the expression gets complicated if the legs are (3a)3 and (4a)3...but that's rather unlikely.
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