The missing angle can be found by using the fact that the sum of the angles in a triangle is 180°.
m∠C = 180° - 45° - 63°
m∠C = 180° - 108°
m∠C = 72°
Next, you can use the Law of Sines to find the length of side AB.
sin A / AB = sin C / BC
sin 45° / AB = sin 72° / 24
AB = 24 * sin 45° / sin 72°
AB = 17.224
Answer: 17.2 in.
In ΔABC, m∠A = 45°, m∠B = 63°, and BC = 24 in. What is AB to the nearest tenth of an inch?
(1 point)
Responses
30.2 in.
30.2 in.
15.1 in.
15.1 in.
32.3 in.
32.3 in.
10.5 in.
1 answer