Question

A triangle has two sides of lengths 4 and 7. What value could the length of the third side be?

A. 17
B. 11
C. 7
D. 5
E. 9
F. 3

Answer 1

The possible values for the length of the third side of the triangle with sides of lengths 4 and 7 are 3 and 11. Hence the correct answer is option F

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Let's consider the two given sides: 4 and 7. The third side must be greater than the difference between them and less than the sum of them. So, the possible values for the length of the third side are:

• (7 - 4) = 3
• (7 + 4) = 11

Therefore, the correct answer is F. 3 and 11.