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GB-33-06-001 · Area using sine

Two sides of a triangle are 29 cm and 27 cm. Their included angle is 67°. Calculate the area to 1 decimal place.

Area of a Non-Right-Angled Triangle Booklet p. 37
Method
1) Label enclosed angle C and adjacent sides a, b
2) Sub into Area = ½ab sin(C)
Worked Example (GB-33-06-001)
1)
12(29)(27)sin⁡67∘\frac12(29)(27)\sin 67^\circ
2)
360.4 cm²
Ans = 360.4 cm²