Subject: Mathematics
Book: Maths Mastery
For a general triangle with sides a, b and included angle C, the area formula is (1/2)ab sin(C). If you have a=8, b=10, and C=60°, the area is 0.5 × 8 × 10 × sin(60°) = 40 × (√3/2) = 20√3. This approach bypasses perpendicular height by utilizing trigonometric ratios. Applicable in surveying or design, it ensures you can swiftly compute areas without rearranging or dropping altitudes. Mastering this technique broadens your repertoire for geometry problem-solving where direct height measures aren’t readily available.
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