A triangle has sides of and 3. Which could not be the length of the third side if it is a right triangle?

i need help anyone?

First, provide the length of the other side.

try again. what is /2 ?

If you mean √2, then the possibilities for a right triangle are

1 and 11, since
1^2 + √2^2 = 3
√2^2 + 3^2 = 11

If you meant 1/2, then the choices are
√11/2 and √37/2

(1/2)^2 + 3^2 = √37/2
(1/2)^2 + (√11/2)^2 = 3

To determine which length could not be the length of the third side in a right triangle with sides of and 3, 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 compute the squares of the given sides:
Squared length of : = ² = 25
Squared length of 3: 3² = 9

To check if a third side can be the length of the hypotenuse in a right triangle, we need to determine if it satisfies the Pythagorean theorem. We can do this by calculating the sum of the squares of the other two sides.

Now, let's examine the possibilities for the third side:
1. If the sum of the squares of and 3 is equal to the square of the third side, then the triangle is a right triangle.
- In this case, the sum of and 3 (25 + 9 = 34) should be equal to the square of the third side.

2. If the sum of the squares of and 3 is not equal to the square of the third side, then the triangle is not a right triangle.
- In this case, the sum of and 3 (25 + 9 = 34) should not be equal to the square of the third side.

Based on this information, if we consider possible lengths for the third side, we can calculate the squares of those lengths and check if they satisfy the Pythagorean theorem.

To determine which length could not be the length of the third side in a right triangle, we need the values for the third side lengths you are considering.