Calculate triangle area using a base and perpendicular height.
Right triangles, areas, slopes, distances and common coordinate-geometry formulas.
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A triangle with base 12 and height 7 has area 42 square units.
Calculate triangle area using a base and perpendicular height. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
A triangle with base 14 meters and perpendicular height 9 meters covers (14 × 9) ÷ 2 = 63 square meters. The factor 1/2 appears because this triangle occupies half a matching parallelogram.
Measurement tip: the height is the shortest perpendicular distance from the opposite vertex to the base line. Substituting a sloping edge usually overstates the area.
Calculate triangle area using a base and perpendicular height.
Area = 1/2 × base × height.
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