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The Law of Sines.

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Presentation on theme: "The Law of Sines."— Presentation transcript:

1 The Law of Sines

2 If none of the angles of a triangle is a right angle, the triangle is called oblique.
All angles are acute Two acute angles, one obtuse angle

3 To solve an oblique triangle means to find the lengths of its sides and the measurements of its angles.

4 FOUR CASES CASE 1: One side and two angles are known (SAA or ASA). CASE 2: Two sides and the angle opposite one of them are known (SSA). CASE 3: Two sides and the included angle are known (SAS). CASE 4: Three sides are known (SSS).

5 A S A ASA S A A SAA CASE 1: ASA or SAA

6 S A S CASE 2: SSA

7 S A S CASE 3: SAS

8 S S S CASE 4: SSS

9 The Law of Sines is used to solve triangles in which Case 1 or 2 holds
The Law of Sines is used to solve triangles in which Case 1 or 2 holds. That is, the Law of Sines is used to solve SAA, ASA or SSA triangles. BACK TO NOTES

10 Theorem Law of Sines

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