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Area of General Triangles & The Law of Sines

10th Grade · Math · CCSS

7 lessons

Goal

Learners will derive the area formula A = ½ab sin(C) and the Law of Sines, then use them to solve triangles in the AAS, ASA, and SSA cases, including the ambiguous case.

7 lessons
0 of 7 done
  1. Deriving the Area Formula A = ½ab sin(C)Up next
  2. Using the Area Formula A = ½ab sin(C)Not started yet
  3. Finding Area Given Two Sides and Included AngleYou are here
  4. Deriving the Law of SinesNot started yet
  5. Using the Law of Sines: AAS CaseNot started yet
  6. Using the Law of Sines: ASA CaseNot started yet
  7. The Ambiguous Case of the Law of Sines (SSA)Not started yet
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Learning standards covered

usHSG.SRT.D.9Common Core State Standards · Math · 10th Grade

(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

Open Global Standard:OGM.11.TRG.2
GlobalOGM.11.TRG.2