Question

Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side?A. 11B. 4C. 7D. 5

Answer 1

Step 1: Concept/Theorem

Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Step 2: Data given

Length of two sides 4 and 7.

Step 3

The third length must be less than the sum of the two length.

`4\text{ + 7 < 11}`

So 11 cannot be the length of the third side.