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x402-triangle-inradius

Triangle Inradius: Triangle Inradius

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
aNoA to process
bNoB to process
cNoC to process

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed3 schema fields changed
    • addedInput schema / properties / a
      Added value: +{
      +  "description": "A to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / b
      Added value: +{
      +  "description": "B to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / c
      Added value: +{
      +  "description": "C to process",
      +  "type": "string"
      +}
  2. First observed

TDQS

C2/5.0
Behavior1/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full burden of behavioral disclosure, and it says nothing. It does not state the formula used, whether inputs are side lengths or angles, units, or validation behavior for invalid triangles.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness2/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The text is short but contains zero usable content, so its brevity is under-specification rather than conciseness. There is nothing to front-load because nothing is said.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With no annotations, no output schema, and a pure-restatement description, an agent has no confirmation of the computation, input convention, or return value. For a simple math utility this is a severe but not catastrophic gap, since the name is fairly self-describing.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%, which sets the baseline at 3, but the coverage is vacuous: 'A to process', 'B to process', 'C to process' convey no meaning. Only the conventional naming (a, b, c as triangle sides) lets an agent infer parameter roles, so no credit above baseline is earned.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose2/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description 'Triangle Inradius: Triangle Inradius' merely restates the tool name verbatim, adding no verb, scope, or output information. It is a tautology, though the name itself does hint at the geometric computation.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

There is no indication of when to use this tool versus siblings like x402-triangle-area, x402-triangle-circumradius, x402-triangle-heron, or x402-triangle-perimeter, nor any prerequisites such as the triangle inequality. Usage must be inferred entirely from the name.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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