Ariel completed the work below to show that a triangle with side lengths of 9, 15, and 12 does not form a right triangle.

9 squared + 15 squared = 12 squared. 81 + 225 = 144. 306 not-equals 144.

Is Ariel’s answer correct?

No, Ariel should have added 122 and 152 and compared that to 92.

No, Ariel should have subtracted 122 from 92 and compared that to152.

No, Ariel should have added 92 and 122 and compared that to 152.

Yes, Ariel’s work is correct.

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

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