Use the Converse of the Pythagorean Theorem to determine whether a right triangle can be formed given sides a, b.
and c, where a = 6 b = 10 and c = 12 (1 point)
O No, a right triangle cannot be formed because 6 ^ 2 +10^ 2 ne12^ 2 ,
Yes, a right triangle can be formed because 6 ^ 2 + 10 ^ 2 = 12 ^ 2
O No, a right triangle cannot be formed because 6 ^ 2 + 10 ^ 2 = 12 ^ 2
◇ Yes, a right triangle can be formed because the Pythagorean Theorem produced a false statement.
No, a right triangle cannot be formed because 6 ^ 2 + 10 ^ 2 ne 12 ^ 2.
No, a right triangle cannot be formed because 6^2 + 10^2 ≠ 12^2.
To determine whether a right triangle can be formed given sides a, b, and c, we can use the Converse of the Pythagorean Theorem. The Converse of the Pythagorean Theorem states that if the sum of the squares of the lengths of the two shorter sides of a triangle is equal to the square of the length of the longest side, then the triangle is a right triangle.
In this case, we have sides a = 6, b = 10, and c = 12. To apply the Converse of the Pythagorean Theorem, we need to check if a^2 + b^2 = c^2.
Plugging in the values, we have 6^2 + 10^2 = 36 + 100 = 136.
Now, comparing this to c^2 = 12^2 = 144, we see that 136 is not equal to 144.
Therefore, the correct answer is: No, a right triangle cannot be formed because 6^2 + 10^2 ≠ 12^2.