Sine Rule Demonstration This resource provides animated demonstrations

A The Sine Rule: Proof c B b height C a (divide by sin

A The Sine Rule b c B a C For any triangle… Use when

The Sine Rule DEMO b 6 cm 55° A 1) 2) 3) 4) a

The Sine Rule DEMO b 9 cm 1) 2) 3) 4) 71° 32° A

The Sine Rule DEMO A 4 cm b 74° 67° 1) 2) 3) 4)

The Sine Rule DEMO A 18° B 1) 2) 3) 4) 34° 12 cm

The Sine Rule DEMO b a 11 cm 42° A 1) 2) 3) 4)

The Sine Rule DEMO a 5 cm b 65° A 1) 2) 3) 4)

The Sine Rule DEMO B A b 1) 2) 3) 4) 88° a 8

The Sine Rule DEMO The Ambiguous Case b 10 cm A 10 cm a

The Sine Rule DEMO b a 11 cm A 1) 2) 3) 4) YOUR

The Sine Rule DEMO b 1) 2) 3) 4) 8 cm B Label involved

The Sine Rule DEMO a 11 cm A 1) 2) 3) 4) A b

The Sine Rule DEMO a 11 cm 1) 2) 3) 4) B b A

Find the missing values X, Y & Z to 2 dp. a b 48°

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated

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Sine Rule – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

A The Sine Rule: Proof c B b height C a (divide by sin C, divide by sin B) (divide by c, divide by b)

A The Sine Rule: Proof c B b height C a

A The Sine Rule: Proof b c height B C a

A The Sine Rule b c B a C For any triangle… Use when trying to find a length. Use when trying to find an angle.

The Sine Rule DEMO b 6 cm 55° A 1) 2) 3) 4) a 40° Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. B

The Sine Rule DEMO b 9 cm 1) 2) 3) 4) 71° 32° A Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. a B

The Sine Rule DEMO A 4 cm b 74° 67° 1) 2) 3) 4) a B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve.

The Sine Rule DEMO A 18° B 1) 2) 3) 4) 34° 12 cm b a Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve.

The Sine Rule DEMO b a 11 cm 42° A 1) 2) 3) 4) 8 cm B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve.

The Sine Rule DEMO a 5 cm b 65° A 1) 2) 3) 4) 6 cm B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve.

The Sine Rule DEMO B A b 1) 2) 3) 4) 88° a 8 cm 15 cm Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve.

The Sine Rule DEMO The Ambiguous Case b 10 cm A 10 cm a 27° 5 cm 27° Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. 5 cm B 1) 2) 3) 4) 5 cm A calculator will only give you an acute angle. ? ? ? To find the other possible angle, subtract the acute angle from 180°.

The Sine Rule DEMO b a 11 cm A 1) 2) 3) 4) YOUR TURN 9 cm 6 cm 42° a b 8 cm 72° B B A Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve.

The Sine Rule DEMO b 1) 2) 3) 4) 8 cm B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. 12 cm 112° 42° b A a 11 cm A YOUR TURN 19° a B

The Sine Rule DEMO b a 11 cm A 1) 2) 3) 4) YOUR TURN 8 cm B a 98° 42° 32° B b Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. 7 cm A

The Sine Rule DEMO a 11 cm A 1) 2) 3) 4) A b YOUR TURN b 8 cm 44° 8 cm 42° B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. B 14 cm a

The Sine Rule DEMO a 11 cm 1) 2) 3) 4) B b A YOUR TURN 8 cm 42° B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. 28° A 53° 21 cm b a

The Sine Rule DEMO b a 11 cm A 1) 2) 3) 4) YOUR TURN 8 cm B a 5 cm 42° B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. b 12 cm 21° A

Find the missing values X, Y & Z to 2 dp. a b 48° A 1) 2) 3) 4) B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. 67° X 7 cm 11 cm 47° Z 14 cm 74° Y 9 cm

Find the missing values X, Y & Z to 2 dp. a b 48° A 1) 2) 3) 4) B Label involved angles & sides. Choose which formula to use. Substitute values. Rearrange to solve. 67° X = 11. 30 cm 7 cm 11 cm 47° Z = 116. 64° 14 cm 74° Y = 48. 39° 9 cm

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk