Question

What is the length of AB⎯⎯⎯⎯⎯? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. cm A horizontally-aligned scalene triangle A B C. Side A C is labeled as 18 centimeters. Side B C is labeled as 12 centimeters. Angle C is labeled as 79 degrees.

Answer 1

19.6

Explanation:

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Answer 2

AB = 19.6 cm

Explanation:

Let AB be represented by c. Applying the cosine rule, we have;

`c^(2)` =
`a ^(2)` +
`b^(2)` - 2ab Cos C

=
`12^(2)` +
`18^(2)` - 2(12 x 18) Cos
`79^(o)`

= 144 + 324 -432(0.19081)

= 468 - 82.4299

`c^(2)` = 385.5701

c =
`√(385.5701)`

c = 19.6359

The side AB of the given triangle is 19.6 centimetres.