Question
sing the Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10, and 12 is a right triangle.(1 point) Responses No, because 22 is not equal to 15. No, because 369 is not equal to 100. No, because 325 is not equal to 144. No, because 244 is not equal to 225.
Answers
GPT 3.5
The Converse of the Pythagorean Theorem states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
In this case, the longest side of the triangle has a length of 15, and the other two sides have lengths of 10 and 12.
15^2 = 225
10^2 + 12^2 = 100 + 144 = 244
Since 225 is not equal to 244, the triangle with sides 15, 10, and 12 is not a right triangle.
In this case, the longest side of the triangle has a length of 15, and the other two sides have lengths of 10 and 12.
15^2 = 225
10^2 + 12^2 = 100 + 144 = 244
Since 225 is not equal to 244, the triangle with sides 15, 10, and 12 is not a right triangle.