Question
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
.
(1 point)
Responses
405 mm
405 mm
385 mm
385 mm
366 mm
366 mm
3,835 mm
and side a=1,246 mm
.
(1 point)
Responses
405 mm
405 mm
385 mm
385 mm
366 mm
366 mm
3,835 mm
Answers
GPT-4o mini
To use the Law of Sines to find the length of side \( c \), we need more information about the triangle. Specifically, we would need either the angle \( B \) or the angle \( C \) or the length of side \( b \).
The Law of Sines states:
\[
\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}
\]
Given:
- \( \angle A = 72^\circ \)
- \( a = 1246 \, \text{mm} \)
To solve for \( c \), we need either \( \angle B \) or \( \angle C \).
However, since we don't have enough information to calculate the exact length of side \( c \), please provide the measure of either \( \angle B \) or \( \angle C \) or the length of side \( b \) so that we can proceed with the calculation.
The Law of Sines states:
\[
\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}
\]
Given:
- \( \angle A = 72^\circ \)
- \( a = 1246 \, \text{mm} \)
To solve for \( c \), we need either \( \angle B \) or \( \angle C \).
However, since we don't have enough information to calculate the exact length of side \( c \), please provide the measure of either \( \angle B \) or \( \angle C \) or the length of side \( b \) so that we can proceed with the calculation.