Triangle 30 60 90 Calculator

Use the Triangle 30 60 90 Calculator for a transparent, instant calculation with validated inputs and cited sources. For a query such as “30 60 90 triangle”, enter the matching values and units below and review the stated assumptions.

Inputs

Results update as you type.

* Required
x ≥ 0

Result

Results update as you type.

Long leg
8.6602540378
Hypotenuse
10

How to use this calculator

Enter the requested values and units.

Review the assumptions and any warnings shown with the result.

Use the result together with the cited source and your real-world requirements.

Formula

For short leg x, the hypotenuse is 2x and the long leg is x√3.

Worked example

Worked example: Inputs: Short leg: 5. Outputs: Long leg: 8.6602540378; Hypotenuse: 10.

Assumptions and limits

  • The result depends on the values, units, and assumptions entered. It does not infer missing context.

Sources

Related calculators

Verification

How this calculator is checked

Trust comes from reproducible evidence, not model confidence. You can inspect the formula, assumptions, worked example, and cited sources on this page.

Frequently asked questions

How does the Triangle 30 60 90 Calculator work?

For short leg x, the hypotenuse is 2x and the long leg is x√3.

What should I enter?

Short leg

What should I verify?

Review the assumptions and any warnings shown with the result. The result depends on the values, units, and assumptions entered. It does not infer missing context.

Last updated 2026-08-25 · math-triangle-30-60-90-v1 · opportunity-source-2026-08-24 · Published by YunFanLabs