Which set of line segments could create a right triangle? 5, 6, 11 5, 9, 10 5, 13, 18 5, 12, 13

The set of line segments that could create a right triangle is 5, 12, 13.

To determine the set of line segments that could create a right triangle, we will determine which of set is a consist of Pythagoras triples. This can be done by testing for the option that satisfies the Pythagorean's theorem.

The Pythagorean's theorem states that "in a right-angled triangle, the square of the longest side (hypotenuse) equals the sum of squares of the other two sides"

Let the longest side (hypotenuse) be c and the other two sides be a and b.

Then, we can write that

a² + b² = c²

We will check if 5² + 6² = 11²

5² + 6² = 25 + 36 = 61

and 11² = 121

Since 61 ≠ 121

∴ 5² + 6² ≠ 11²

Thus, the line segments cannot create a right triangle

We will check if 5² + 9² = 10²

5² + 9² = 25 + 81 = 106

and 10² = 100

Since 106 ≠ 100

∴ 5² + 9² ≠ 10²

Thus, the line segments cannot create a right triangle

We will check if 5² + 13² = 18²

5² + 13² = 25 + 169 = 194

and 18² = 324

Since 194 ≠ 324

∴ 5² + 13² ≠ 18²

Thus, the line segments cannot create a right triangle

We will check if 5² + 12² = 13²

5² + 12² = 25 + 144 = 169

and 13² = 169

Since 169 = 169

∴ 5² + 12² = 13²

Thus, the line segments can create a right triangle

Hence, the set of line segments that could create a right triangle is 5, 12, 13.

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 5, 12, 13

Step-by-step explanation:

We know that for any right triangle, it must follow Pythagoras theorem.

5, 6, 11

Here,

Therefore, these line segments could not create a right triangle.

5, 9, 10

Here,

Therefore, these line segments could not create a right triangle.

5, 13, 18

Here,

Therefore, these line segments could not create a right triangle.

5, 12, 13

Here,

Therefore, these line segments could create a right triangle.

the aswere is the one with all 8's and the second one is with the 10,8 and 6

step-by-step explanation:

i dont know

step-by-step explanation: