Trigonometry Triangle Area Challenge
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Trigonometry Triangle Area Challenge
A. The triangular parcel
The parcel has sides of 15 m and 20 m, with an included angle of 60°.
- ½ × a × b × sin(C)
- a² + b² − 2ab cos(C)
- ½ × base × height, with the height already given
- sin(A) ÷ a = sin(B) ÷ b
B. Area and permit costs
The council charges $25 per square metre for permits. Use the first parcel's exact area calculation before rounding the final dollar amount.
C. A missing angle
Ruben measures two sides of a small triangular sign panel: 10 m and 14 m. The angle opposite the 10 m side is 30°.
3 printable pages
Page 1
Page 2
Page 3
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