Answer: No
Step-by-step explanation: The given side lengths of the triangle are 4 inches, 6 inches, and 9 inches. To determine if the triangle is a right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check if the given side lengths satisfy the Pythagorean theorem:
Using the Pythagorean theorem, we can calculate the squares of the side lengths:
4^2 = 16
6^2 = 36
9^2 = 81
Now, let's compare the sum of the squares of the two shorter sides to the square of the longest side:
16 + 36 = 52
81 = 81
Since 52 is not equal to 81, the given triangle is not a right triangle.