Triangle Solve

{
  "asOf": "2026-10-11T08:51:20.158Z",
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "method": "SSS (law of cosines)",
  "notChecked": [
    "units (any unit works: results scale)",
    "spherical or non-Euclidean triangles"
  ],
  "reasons": [
    "A unique triangle.",
    "Law of cosines: c^2 = a^2 + b^2 - 2ab cos C. Law of sines: a / sin A = b / sin B = c / sin C. Heron's formula gives the area."
  ],
  "solutionCount": 1,
  "solutions": [
    {
      "anglesDeg": {
        "A": 36.86989765,
        "B": 53.13010235,
        "C": 90
      },
      "area": 6,
      "byAngles": "right",
      "bySides": "scalene",
      "circumradius": 2.5,
      "heights": {
        "onA": 4,
        "onB": 3,
        "onC": 2.4
      },
      "inradius": 1,
      "perimeter": 12,
      "semiperimeter": 6,
      "sides": {
        "a": 3,
        "b": 4,
        "c": 5
      }
    }
  ],
  "source": "computed locally",
  "summary": "SSS (law of cosines): sides 3, 4, 5; angles 36.86989765, 53.13010235, 90 deg; area 6 (right, scalene).",
  "verdict": "SOLVED"
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://math-geometry.x402tookit.com/triangle-solve?a=3&b=4&c=5'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://math-geometry.x402tookit.com/triangle-solve?a=3&b=4&c=5' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fmath-geometry.x402tookit.com%2Ftriangle-solve
const res = await pay("https://math-geometry.x402tookit.com/triangle-solve?a=3&b=4&c=5");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://math-geometry.x402tookit.com/triangle-solve?a=3&b=4&c=5")
    print(res.status_code, res.text)