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Midpoint Calculator

Geometry

Midpoint of two points, endpoint back-solve, distance

Quick Answer

Midpoint Calculator: Midpoint of two points, endpoint back-solve, distance. Midpoint Calculator uses standard geometry formulas to compute accurate results instantly.

Mode

Midpoint M
(3, 5)
Distance from A: 7.21
Midpoint x3
Midpoint y5
Distance A–B7.21
Slope k1.5

Calculation steps

  1. 1中点公式：M = ((x₁+x₂)/2, (y₁+y₂)/2)
  2. 2Mx = (1 + 5) ÷ 2 = 3；My = (2 + 8) ÷ 2 = 5
  3. 3两点距离 d = √((5−1)² + (8−2)²) = 7.21
  4. 4斜率 k = (8−2) ÷ (5−1) = 1.5
  • Midpoint = coordinate-wise average: each coordinate of M is simply (start + end) ÷ 2, works for negative and decimal coordinates alike.
  • The endpoint mode is pure symmetry: B = 2M − A, because M is exactly halfway — useful when a line segment is cut by a known center.
  • Midpoint + slope together give the perpendicular bisector: slope is the negative reciprocal, passing through M.
  • Extends to 3D the same way: M = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2) — just average the third coordinate too.

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How to Use

  1. Enter known values: fill sides, radius or angles in the Midpoint Calculator.
  2. Auto-solve the rest: all unknowns are solved instantly — no manual derivation.
  3. See formula and steps: the result panel shows the formula used and the substitution.
  4. Try another case: change any known value to solve again.

Key Points

  • Midpoint Calculator is a free online geometry tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Midpoint of two points, endpoint back-solve, distance.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Midpoint Calculator formula

Midpoint Calculator uses standard geometry formulas to compute accurate results instantly.

FAQ

How do I use the Midpoint Calculator?
Open the page and fill in the input fields — results update automatically. Midpoint of two points, endpoint back-solve, distance.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on standard Euclidean geometry formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Midpoint Calculator[EB/OL]. https://www.yijiansuan.com/en/c/geometry/midpoint

Results provided by this tool are for reference only and do not constitute professional advice.