Hakirn wants to create a right triangle with side lengths 11 inches, 45 inches, and 46 inches.
Is this possible? Why or why not?
Yes, because is not equal to 46 .
Yes, because is not equal to .
No, because is greater than .
No, because is greater than 46 .

To determine if a triangle can be a right triangle, we can use the Pythagorean theorem, which states that for a right triangle with legs and and hypotenuse , the equation holds true. In this case, we calculate and compare it to . Surprisingly, while . Since is greater than , this doesn’t satisfy the theorem, indicating that these side lengths cannot form a right triangle.

Now, here’s a fun fact: The largest angle in a triangle is always opposite its longest side. In this case, inches is the longest side (hypotenuse), meaning the angle opposite it should be the largest. However, because , , and cannot satisfy the Pythagorean theorem, you won’t find any right angles here! It’s almost like trying to fit a square peg in a round hole—sometimes even the longest side can lead you astray!