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The Sine Law How to use sine law to find the angles and lengths of triangles.
ab A c B C = Sin ASin B ab The basics of Sine Law
5.9m (a) 7.8m (b) c B C A = Sin ASin B ab = Sin 36˚Sin B ˚ =SinB x 5.9(Sin36˚)(7.8) =SinB(Sin36˚)(7.8) 5.9 =
EX 2 θ θ E C B A 15.6m 36.0m = Sin BSin C bc = Sin θSin140˚ Θ= sinˉ¹ (15.6)(sin140˚) 36.0 N Θ=16˚
Try this one out 115˚ 16m 49m A C B C
= Sin ASin115˚ 1649 A= Sinˉ¹ (sin115˚)(16) 49 A= 31˚ C=180-(31+115) C= C=34˚ = Sin ASin C ac = Sin31˚Sin34˚ 16c = Sin31˚ 16 cSin34˚ x = c
Solving Right Triangles Essential Question How do I solve a right triangle?
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Law of Sines The Ambiguous Case Section 6-1. In geometry, triangles can be uniquely defined when particular combinations of sides and angles are specified.
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EXAMPLE 5 Find the area of a triangle Biology Black-necked stilts are birds that live throughout Florida and surrounding areas but breed mostly in the.
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Page 276 – The Law of Sines The Law of Sines a sin A = b sin B = c sin C Also remember that there may be no, one or two triangles depending upon the relationship.
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Warm-up Solve: 1) 2x + 1+4x +4x-11= 180 Compare greater than >, less than < or equal = 4+5___ 9 5+5__ 9 Find a number x. 6
The Ambiguous Case of the Law of Sines. This is the SSA case of an oblique triangle. SSA means you are given two sides and the angle opposite one of them.
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