Algebra 2 13.4A Area of , Law of Obj: able to find exact values of for general ; able to use reference

Area of a Triangle B The area of any triangle is given by one half the product of the lengths of two sides times the of their included . 1 c Area = bc sin A a 2 1 Area = ab sin C 2 A 1 b C Area = ac sin B 2

Find the area of the triangle . 1.

B

3 C 25 ° 6 A

Oblique triangles are triangles that have no right angles . C

Use Law of Sines to solve (AAS or ASA) a b Law of Sines If ABC is a triangle with sides a, b, and c, a b c sin A SinB SinC then = = or = = sin A sin B sin C a b c A c B

2. Given a triangle with A = °,70 B = 80 a , a = 30 in ., find the remaining side and angles. Round sides to the nearest tenth and angles to the nearest degree. There has to be an angle and a side across from each other to use the Law of Sines. So fill in the table below.

A = a =

B = b =

C = c =

3. Given a triangle with B = 56 a ,C = 84 a ,b = 15 feet , find the remaining angle and sides. Round sides to the nearest tenth and angles to the nearest degree. There has to be an angle and a side across from each other to use the Law of Sines. So fill in the table below.

A = a =

B = b =

C = c =

4. Given a triangle with A = °,35 c = 10 m, B = 85 a , find the remaining side and angles. Round sides to the nearest tenth and angles to the nearest degree. There has to be an angle and a side across from each other to use the Law of Sines. So fill in the table below.

A = a =

B = b =

C = c =

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