Apply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.

Question

(1 point)
1
2
11
9

which ONE option is correct

Answer 1

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the first two sides measure 4 and 6.

To determine if the third side can be 1, we would need to check if 4 + 1 > 6 and 6 + 1 > 4. Both of these conditions are met, so 1 could be the third side of the triangle.

To determine if the third side can be 2, we would need to check if 4 + 2 > 6 and 6 + 2 > 4. Both of these conditions are met, so 2 could be the third side of the triangle.

To determine if the third side can be 9, we would need to check if 4 + 9 > 6 and 6 + 9 > 4. Only the first condition is met but not the second, so 9 cannot be the third side of the triangle.

To determine if the third side can be 11, we would need to check if 4 + 11 > 6 and 6 + 11 > 4. Neither of these conditions are met, so 11 cannot be the third side of the triangle.

Therefore, the correct option is either 1 or 2.

Answer 2

it cant be both. please pick one.

Answer 3

alr nvm bro, ill just say which ones correct once i turn it in then

Answer 4

the answers to the whole quick check are:
22.
5 cm.
9.
2, 7, 6.
5.5.

hope this helps <3