# SignalDesk AI Triangle Area Calculator

> SignalDesk AI Triangle Area Calculator is a paid API for AI agents from x402-agent.kariguetoazul.workers.dev, paid per call via x402, $0.001/call, status unknown (last checked 2026-10-13).

Computes the area of a triangle given its three side lengths using Heron's formula

## Facts

- Endpoint: POST https://x402-agent.kariguetoazul.workers.dev/api/math/triangle-area?utm_source=zero.xyz
- Price: $0.001/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/signaldesk-ai-triangle-area-calculator-9fbfc821
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_e89dkKxvpsCVstnVqROSy

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability signaldesk-ai-triangle-area-calculator-9fbfc821 -d '<json body>'
```

Example prompt: Can you calculate the area of a triangle whose three sides are 5, 12, and 13?

## When to prefer this

Use this endpoint when you need to compute the area of a triangle and only have the three side lengths available (not the base and height). It applies Heron's formula automatically and is ideal for geometry calculations, construction estimates, or any scenario where height is unknown but all sides are known. It is a simple, cheap, deterministic computation at $0.001 USDC per call.

## Known failure modes

- Invalid triangle: if the three sides do not satisfy the triangle inequality (sum of any two sides must exceed the third), the computation is geometrically impossible
- Non-positive side values: sides must be strictly greater than 0 per schema exclusiveMinimum constraint
- Missing required fields: if any of a, b, or c are omitted, the request will fail
- Side values exceeding maximum of 1,000,000,000,000,000 will be rejected
- Payment failure: if x402 micropayment of $0.001 USDC is not provided, the call will not execute

## How this service works

Evidence-backed autonomous AI jobs and paid data tools. Queue/D1/cron run outside the chat; free quotas and bounded execution apply.

## Output

Returns a JSON object containing a single numeric field 'area' representing the computed area of the triangle in square units, calculated from the three input side lengths (e.g. {"area": 6}).

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "a": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": -1000000000000000,
   "description": "Side a.",
   "exclusiveMinimum": 0
  },
  "b": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": -1000000000000000,
   "description": "Side b.",
   "exclusiveMinimum": 0
  },
  "c": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": -1000000000000000,
   "description": "Side c.",
   "exclusiveMinimum": 0
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "area": 6
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/signaldesk-ai-triangle-area-calculator-9fbfc821/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from x402-agent.kariguetoazul.workers.dev](https://www.zero.xyz/host/x402-agent.kariguetoazul.workers.dev/llms.txt)