{"uid":"cap_e89dkKxvpsCVstnVqROSy","slug":"signaldesk-ai-triangle-area-calculator-9fbfc821","name":"SignalDesk AI Triangle Area Calculator","description":"Evidence-backed autonomous AI jobs and paid data tools. Queue/D1/cron run outside the chat; free quotas and bounded execution apply.","url":"https://x402-agent.kariguetoazul.workers.dev/api/math/triangle-area?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"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}}},"responseSchema":{"type":"json","example":{"area":6}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.001","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.001/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_Tz_uKiggKqm5e8Us_OcDd","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.001","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the area of a triangle given its three side lengths using Heron's formula","exampleAgentPrompt":"Can you calculate the area of a triangle whose three sides are 5, 12, and 13?","exampleUseCases":[{"title":"Geometry homework helper","prompt":"I need to find the area of a triangle with sides 9, 12, and 15 — can you compute that for me?"},{"title":"Construction material estimation","prompt":"I'm cutting a triangular piece of material with sides measuring 30, 40, and 50 units — what's the area so I know how much I need?"},{"title":"Game or simulation math","prompt":"My game has a triangular terrain patch with side lengths 100, 150, and 175 — what's the area of that triangle?"}],"resultDescription":"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}).","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-13T00:42:16.304Z","isFirstParty":false,"canonicalSlug":"signaldesk-ai-triangle-area-calculator-9fbfc821"}