Answer: No, Ariel should have added 9^2 and 12^2 and compared that to 15^2.
Explanation:
Ariel completed a work to show that a triangle whether a triangle with side lengths of 9, 15, and 12 form a right triangle.
Ariel added 9 squared + 15 squared = 12 squared. 81 + 225 = 144 and concluded that 306 is not-equal to 144 and hence, it is not a right angle triangle.
To know whether it's a right angle triangle, we had the square of the two lowest figures together if it will be equal to the square of the largest figure which is called the hypotenuse.
9 squared + 12 squared =
81 + 144 = 225
15 squared= 15 × 15 = 225
So it's a right angle triangle since
9^2 + 12^2 = 15^2
