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Final: Every Triangle

Part of the Triangles Without Right Angles section of Coddy's Trigonometry journey. Lesson 41 of 44.

In triangle ABC, the angle at A is 28°, BC = 11 cm and AC = 20 cm. The question asks for every triangle these measurements allow.

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Challenge

In triangle ABC, the angle at A is 28°, BC = 11 cm and AC = 20 cm. The question asks for every triangle these measurements allow.

Find every possible angle θ at B, to two decimal places, and press Check.

Try it yourself

Use the figure to find theta

Use the figure to find theta

quiz iconTest yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Triangles Without Right Angles

1Across the Lake

Across the LakeSines Past 90°Cosines Past 90°Recap: Across the River

4Law of Cosines: SAS

The Law of CosinesAn Obtuse Angle BetweenThrough the HillA Hooked DriveRecap: Two Sides, One Angle

7Area of a Triangle

Area With a SineArea With an Obtuse AngleWorking BackwardsThe Angle From the AreaHeron's FormulaRecap: A Garden Bed

2Law of Sines: AAS and ASA

Why the Law of Sines HoldsPair Side With AngleThe Third Angle FirstTwo Coast StationsRecap: Law of Sines

5Law of Cosines: SSS

Three Sides, One AngleThe Largest AngleA Triangular FieldRecap: Three Sides

8Bearings and Navigation

Reading BearingsTwo Ships From PortTurning Off CourseFinding a Course AngleRecap: Ships at Sea

3The Ambiguous Case

Finding an AngleTwo TrianglesThe Height TestAn Obtuse Given AngleRadio CoverageRecap: How Many Triangles?

6Which Law to Use

Sines or Cosines?Not BetweenThree TownsRecap: Pick the Law

9Final Challenges

Final: Across the CanyonFinal: Every TriangleFinal: A Plot of LandFinal: Ship and PlaneFinal: The Largest Angle