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Triantain gun cheàrn ceartFarsaingeachd triantain

Bidh riaghailtean sine/cosine gan cleachdadh le triantain gun cheàrn ceart is thaobh/cheàrn a tha a dhìth. Bidh seo ga chleachdadh le cùrsaichean. Obraichear an fharsaingeachd a-mach le triantanachd.

Part of MatamataigSgilean triantanachd

Farsaingeachd triantain

Gus obrachadh a-mach, feumaidh fios a bhith agad air dà thaobh agus air a' cheàrn eatarra.

\(Farsaingeachd\,triantain = \frac{1}{2} \times ab \times \sin C\)

Eisimpleir

Lorg farsaingeachd an triantain ABC.

Diagram of triangle with 35° angle and values 3cm and 7cm

\(Farsaingeachd = \frac{1}{2} \times bc \times \sin A\)

\(Farsaingeachd = 0.5 \times 3 \times 7 \times \sin (35^\circ )\)

\(Farsaingeachd = 6.02255...\)

\(Farsaingeachd = 6.02\,c{m^2}\,(gu\,2\,id)\)

Question

Obraich a-mach farsaingeachdan an triantain ABC.

Triangle with 130 degree angle, sides of 5 and 8cm and lables of A, B and C

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