An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 8 cm long. A second side of the triangle measures 7 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth.
4.2 cm and 7.6 cm
4.2 cm and 7.6 cm
7.4 cm and 9.3 cm
7.4 cm and 9.3 cm
8.3 cm and 5.8 cm
8.3 cm and 5.8 cm
5.3 cm and 9.3 cm
The longest possible length of the third side can be found by simply adding the two given segments:
6 cm + 8 cm = 14 cm
The shortest possible length of the third side can be found by subtracting the smaller given segment from the larger given segment:
8 cm - 6 cm = 2 cm
Therefore, the longest possible length of the third side is 14 cm and the shortest possible length is 2 cm. The correct answer is:
2 cm and 14 cm