How this calculation works
Recover the area from all three perpendicular distances to the opposite sides.
THE FORMULA
Area=1/(4 × Heron area of reciprocal altitudes)A worked example
Altitudes of 4, 3 and 2.4 belong to a 3–4–5 triangle with area 6.
Good to know
The three reciprocal lengths must satisfy strict triangle inequalities.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Recover the area from all three perpendicular distances to the opposite sides.
The primary result is labeled “Area”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The three reciprocal lengths must satisfy strict triangle inequalities.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
Altitudes of 4, 3 and 2.4 belong to a 3–4–5 triangle with area 6.
Which rule does this calculator apply?
Area=1/(4 × Heron area of reciprocal altitudes)