Master different methods to calculate triangle area. Learn when to use each method and see practical applications in real-world scenarios.
The most fundamental method - works for any triangle when you know the base and perpendicular height
Example:
Base = 8cm, Height = 6cm → Area = (8 × 6) ÷ 2 = 24cm²
Calculate area using only the three side lengths, where s = (a+b+c)/2
Example:
Sides 3, 4, 5 → s = 6 → Area = √[6×3×2×1] = 6
Use two sides and the included angle between them
Example:
Sides a=5, b=7, angle C=60° → Area = ½×5×7×sin(60°) ≈ 15.16
The two legs are the base and height
Legs 3 and 4 → Area = (3 × 4) ÷ 2 = 6
Where s is the side length
Side 6 → Area = (36 × √3) ÷ 4 ≈ 15.59
Where a is equal side, b is base
Equal sides 5, base 6 → Area = (6 × √76) ÷ 4 ≈ 13.08
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