A 12.0-cm segment makes a 108.0-degree angle with a 16.0-cm segment. To the nearest tenth of a cm, find the third side of the tr

Question

3 years ago

6

iangle determined by this SAS information.

1 answer:

Dominik [7] · Answer 1 · 2022-08-08T18:08:59+03:00

Begin by using the cosine rule to find the unknown side.

Where a- unknown side, b is 12, c is 16 and angle in between is 108°

The cosine rule...

a² = b² + c² - 2bc cosA

= 12² + 16² - (2×12×16 cos108°)

= 518.655076

Taking the positive square root...

a = 22.774

a = 22.8 cm nearest tenth