an angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. a second side of the triangle is 7.4 cm long. find the longest and shortest possible lengths of the third side of the triangle. round answers to the nearest tenth of a centimeter.

The shortest possible length is 4.9 cm

The longest possible length is 11.1 cm

The answer is B

Step-by-step 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.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !