Question

One side of a triangle is 7 and another side is 10. Which of the values below could

be the third side of the triangle?

Answer 1

C

Explanation:

given 2 sides of a triangle, then the third side, x , is in the range

difference of 2 sides < x < sum of 2 sides , that is

10 - 7 < x < 10 + 7

3 < x < 17

The only values in the list between 3 and 17 are 4 and 16.

That is III and IV only → C

Answer 2

x is the third side of the triangle, we have:

7 + 10 > x > 10 - 7

<=> 3 < x < 17

so the answer is C. III and IV only