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.

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step-by-step explanation:

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.