In a triangle, the length of any side must be less than the sum of the lengths of the other two sides. This is known as the triangle inequality theorem.

Here, we have two sides of lengths 22 cm and 14 cm. Their sum is 22 + 14 = 36 cm.

So, the third side must be less than 36 cm.

All the given options (11 cm, 9 cm, 10 cm, 8 cm) are less than 36 cm, so we need to check the other condition of the triangle inequality theorem: the length of any side of a triangle must be greater than the absolute difference of the lengths of the other two sides.

The absolute difference of 22 cm and 14 cm is 22 - 14 = 8 cm.

So, the third side must be greater than 8 cm.

Out of the given options, 8 cm does not satisfy this condition. Therefore, 8 cm could NOT be the third side of the triangle.

Question

In a triangle, the length of any side must be less than the sum of the lengths of the other two sides. This is known as the triangle inequality theorem.

Here, we have two sides of lengths 22 cm and 14 cm. Their sum is 22 + 14 = 36 cm.

So, the third side must be less than 36 cm.

All the given options (11 cm, 9 cm, 10 cm, 8 cm) are less than 36 cm, so we need to check the other condition of the triangle inequality theorem: the length of any side of a triangle must be greater than the absolute difference of the lengths of the other two sides.

The absolute difference of 22 cm and 14 cm is 22 - 14 = 8 cm.

So, the third side must be greater than 8 cm.

Out of the given options, 8 cm does not satisfy this condition. Therefore, 8 cm could NOT be the third side of the triangle.

Knowee AI · Accepted Answer

In a triangle, the length of any side must be less than the sum of the lengths of the other two sides. This is known as the triangle inequality theorem.

Here, we have two sides of lengths 22 cm and 14 cm. Their sum is 22 + 14 = 36 cm.

So, the third side must be less than 36 cm.

All the given options (11 cm, 9 cm, 10 cm, 8 cm) are less than 36 cm, so we need to check the other condition of the triangle inequality theorem: the length of any side of a triangle must be greater than the absolute difference of the lengths of the other two sides.

The absolute difference of 22 cm and 14 cm is 22 - 14 = 8 cm.

So, the third side must be greater than 8 cm.

Out of the given options, 8 cm does not satisfy this condition. Therefore, 8 cm could NOT be the third side of the triangle.

Kagura is creating a popsicle-stick model house for a school project. The roof of his house is triangular. Two of the triangle sides measure 22 cm and 14 cm.Which side length could NOT be the third side?11 cm9 cm10 cm8 cm

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