Law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction is 4.7 units.

What is the sine rule?

The regulation of sine or the sine regulation states that the ratio of the facet duration of a triangle to the sine of the other perspective, that is identical for all 3 sides. It is likewise called the sine rule.

1. We are given that during triangle ABC AB = 3units
2. Angle ABC-76s degree
3. Angle CAB=66 degrees
4. AC = b
5. We must discover the approximate fee of b the use of sin laws.
6. We recognize that sum of angles of a triangle =a hundred and eighty degrees
7. perspective CAB+ perspective ABC+ perspective ACB=a hundred and eighty seventy six+sixty six+ perspective ACB=a hundred and eighty
8. 142+ perspective ACB=a hundred and 80
9. perspective ACB=a 100 and 80-142=38^ c
10. We recognize that the regulation of sines
11. (BC)/(SinA) = (AC)/(SinB) = (AB)/(sin C)
12. Substitute the values then we get.
13. 4.7units.

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