Question

Using the Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10, and 12 is a right triangle.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if a triangle with sides 15, 10, and 12 is a right triangle, we can apply the Converse of the Pythagorean Theorem, which 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 is 15. We can find out if this triangle is a right triangle by calculating:

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 according to the Converse of the Pythagorean Theorem.