Using 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 22 is not equal to 15. No, because 325 is not equal to 144. No, because 325 is not equal to 144. No, because 244 is not equal to 225. No, because 244 is not equal to 225. No, because 369 is not equal to 100.

To determine if the triangle with sides 15, 10, and 12 is a right triangle, we can use the Converse of the Pythagorean Theorem. According to this theorem, a triangle is a right triangle if the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides.

First, we identify the longest side. The sides are 15, 10, and 12, so the longest side is 15.

Next, we calculate the squares of the sides:

1. Square of the longest side:
   \( 15^2 = 225 \)

2. Sum of the squares of the other two sides:
   \( 10^2 + 12^2 = 100 + 144 = 244 \)

Now we compare the two values:

• The square of the longest side is 225.
• The sum of the squares of the other two sides is 244.

Since \( 225 \neq 244 \), we conclude that the triangle with sides 15, 10, and 12 is not a right triangle.

So the correct response is: No, because 244 is not equal to 225.