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Triangle Properties Calculator (Heron's Formula)
x402
Triangle Properties Calculator (Heron's Formula) is a paid API for AI agents from geometry.openverbs.com, paid per call via x402, $0.004/call, status unknown (last checked 2026-09-14).
Computes the area (via Heron's formula), perimeter, and all three interior angles of a triangle given its three side lengths, rejecting invalid triangles with a 400 error.
Price / call$0.004
Success—
StatusUnknown
How this service works
Area (Heron's formula), perimeter and interior angles of a triangle from its three side lengths. Sides that violate the triangle inequality are rejected as a clean 400.
Output
Returns the triangle's area computed via Heron's formula, its perimeter (sum of all three sides), and the three interior angles in degrees. If the provided sides violate the triangle inequality (i.e., no valid triangle can be formed), the endpoint returns a 400 error.
Example use cases
Verify triangle validity and area
“I have a triangle with sides 5, 12, and 13 — can you tell me its area, perimeter, and interior angles?”
Engineering cross-section measurement
“Calculate the area and angles of a triangular cross-section with side lengths 8.5, 6.2, and 9.1.”
Detect degenerate triangle in user input
“A user entered side lengths 1, 2, and 10 for a triangle — are those valid, and if so what's the area and perimeter?”
Technical details
Endpoint
POSThttps://geometry.openverbs.com/v1/triangleWhen to prefer
Use this endpoint when you have all three side lengths of a triangle and need area, perimeter, and/or interior angles without requiring coordinates. Prefer this over polygon endpoints when the shape is specifically a triangle. It's ideal when you want automatic validation of the triangle inequality as part of the workflow.
Side effects
- Triangle inequality violation (e.g. sides 1, 2, 10) returns 400 Bad Request
- Any side length of zero or negative returns 400 due to exclusiveMinimum:0 constraint
- Missing required fields a, b, or c returns 400
- Non-numeric side values return a validation error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object |
Tags
x402
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