Answer:
The shortest possible length is 4.9 cm
The longest possible length is 11.1 cm
The answer is B
Explanation:
You can solve this problem by applying the Angle Bisector Theorem.
Let's call the length we want to find "x". We need to find both the shortest possible length of x and the longest possible length of x.
To find the shortest possible length we can use 7.4/x = 6/4
Solve for x accordingly:
7.4/x = 6/4
(7.4)(4) = 6x
29.6 = 6x
4.93333... = x
So we can round this down to 4.9. The shortest possible length is 4.9 cm.
To find the longest possible length we can use 7.4/x = 4/6
7.4/x = 4/6
(7.4)(6) = 4x
44.4 = 4x
11.1 = x
The longest possible length is 11.1 cm.