ClarityHow to use this tool
- Enter base, perpendicular height.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| Base | Numeric value. Zero or positive. | 10 |
| Perpendicular height | Numeric value. Zero or positive. | 6 |
Result for these sample inputs
30 square units
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
Area = base × perpendicular height ÷ 2. The height is the shortest distance from the opposite vertex to the base line.
A base of 10 and perpendicular height of 6 give an area of 30 square units.
What to keep in mind
Height is not generally a slanted side. Both inputs must use the same length unit; zero gives a degenerate area.
Common questions
Can the height fall outside the triangle?
Yes, for some obtuse triangles. It still measures perpendicular distance to the extended base line.
Does this require a right triangle?
No. The base-height formula applies to any triangle when the perpendicular height is known.
Methodology maintained by ClarityKit. How these tools are built and checked.