Question

In the triangle, what is the smallest possible integer value for x?

A) 6
B) 7
C) 12
D) 13

Answer 1

b) 7

Step-by-step explanation:

Two legs of a triangle must be larger than the third leg so x + 2x > 18 therefore x > 6. So 7 is correct.

Answer 2

Answer:
7

Step-by-step explanation:
There is a theorem that states that: "In any triangle, the sum of any two sides MUST be greater that the third side."

This means that, in the given triangle:
x + 2x > 18
3x > 18
x > 18/3
x > 6

Since x should be greater than 6 for the dimensions to be valid, therefore, the smallest possible integer for x is the one directly after the 6 which is 7.

Hope this helps :)