The sin rule

In angle ABC,A=29°,B=36°,b=15.8cm.find a. And show working

1 answer

The sine rule states that in any triangle ABC:

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

where a, b, and c are the lengths of the sides opposite to angles A, B, and C respectively.

Using the sine rule, we can find the length of side a as follows:

a/sin A = b/sin B

a/sin 29° = 15.8/sin 36°

a = sin 29° × 15.8 / sin 36°

a ≈ 8.47 cm (rounded to two decimal places)

Therefore, the length of side a is approximately 8.47 cm.