Final answer:
The statement is false. The largest angle in a triangle cannot be 3 times the size of the smallest angle.
Step-by-step explanation:
The statement is false. In a triangle, the sum of the angles is always 180 degrees. Therefore, if the largest angle in a triangle is 3 times the size of the smallest angle, it means that the largest angle would be greater than or equal to 90 degrees, which is not possible. The largest angle in a triangle can be at most 90 degrees in the case of a right triangle.
For example, let's say the smallest angle is x. According to the statement, the largest angle would be 3x. If we add these two angles and the sum is equal to 180 degrees:
x + 3x = 180
4x = 180
x = 45
However, this means that the smallest angle is 45 degrees, and the largest angle would be 135 degrees, which is larger than 90 degrees.
Therefore, the correct answer is b) False.