Topics โ€บ Precalculus โ€บ Area of a Triangle Using Trig โ€” (1/2)ab sin C
Precalculus ยท F-TF

Area of a Triangle Using Trig โ€” (1/2)ab sin C

Area = (1/2)ab sin C, where C is the included angle between sides a and b.

PrecalculusCommon Core HSG-SRT.D.9F-TFVerified correct โœ“

Worked examples

Find the area of a triangle with sides a = 11, b = 7, and included angle C = 60ยฐ. Use the formula Area = (1/2)ab sin C. Round to 4 decimal places.
Answer: 33.342
Find the area of a triangle with sides a = 7, b = 6, and included angle C = 150ยฐ. Use the formula Area = (1/2)ab sin C. Round to 4 decimal places.
Answer: 10.5

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