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Reil [10]
3 years ago
5

What is the length of BC¯¯¯¯¯ ?

Mathematics
1 answer:
svlad2 [7]3 years ago
5 0

Hello!


The length of side BC can be found by using the Law of Sines. This law states,

a / sin A = b / sin B = c / sin C.


Given:

Angle A = 51.2 degrees

Angle B = 60.3 degrees

Side AC (or B) = 21 cm

Side BC (or A) = ? cm


Let's plug in these values into the formula to find the missing side length.


a / sin (51.2) = 21 / sin (60.3)

a / sin (51.2) = 24.1759... (multiply both sides by sin(51.2)

a = 24.1759 · sin (51.2)

a = 18.841...


18.841 can be rounded to 19.


Therefore, the length of side BC is equal to 19 centimeters.

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