USE THE LAW OF SINES

TRIANGLE:

C
b a
A c B

Use the Law of Sines to find the length of side c, to the nearest millimeter, if ∠A = 72 degrees and side a = 1,246 mm.

a. 405 mm
b. 3,835 mm
c. 385 mm
d. 366 mm

1 answer

To find the length of side \( c \) using the Law of Sines, we need to use the relationship given by the Law of Sines:

\[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \]

From the information given:

  • \( A = 72^\circ \)
  • \( a = 1246 \) mm

We need additional information about the triangle, specifically the angles or sides \( b \) or \( C \) or \( B \), to use the Law of Sines effectively.

However, if we only have angle \( A \) and side \( a \), we can't find side \( c \) without knowing at least one more angle or side.

Please provide \( B \), \( C \), \( b \), or other relevant information to proceed with the calculation.