Question

The following figure shows AABC with side lengths to the nearest tenth.

24
B
130
5
Find BC in ABC!
Round to the nearest tenth.

Answer 1

5.4

Explanation:

angle A = 180 - 130 - 24 = 26

as the sum of all angles in any triangle is always 180 degrees.

a/sin(A) = b/sin(B) = c/sin(C)

with the side being always on the opposite side of the angle.

=>

5/sin(24) = BC/sin(26)

BC = 5×sin(26)/sin(24) = 5.4