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Triangle Orthocenter Calculator

Find the orthocenter of a triangle (the intersection of its altitudes) from the three vertices, with the altitude equations and a diagram — note it can lie outside an obtuse triangle.

Related tools

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Angle Bisector Calculator (triangle)Enter the three sides or the three vertices and get the length of each internal angle bisector, the incenter, the inradius, and the exact point where every bisector cuts the opposite side. The angle bisector theorem is the heart of it: the bisector splits the opposite side in the ratio of the two adjacent sides. The triangle inequality is checked before anything is computed, and the triangle is drawn with its three bisectors.General Triangle SolverSolve any triangle from 3 known values (SSS, SAS, ASA/AAS, SSA) with the laws of sines and cosines: all sides and angles, area, perimeter and type, handling the ambiguous SSA case (0, 1 or 2 triangles).Triangle Centroid CalculatorFind the centroid of a triangle from its three vertices, with the medians, side midpoints, median lengths and the 2:1 ratio, plus a diagram.Equilateral triangle calculatorCompute the area, height and perimeter of an equilateral triangle from its side.Triangle area calculator (Heron's formula)Compute a triangle's area from the length of its three sides.Sierpinski triangle generatorGenerate the Sierpinski triangle two ways: by recursive subdivision, which removes the central triangle at every level, or by the chaos game, where thousands of random midpoint jumps make the fractal emerge from pure randomness. Choose the depth or iteration count and a colour palette.Triangle area calculatorArea of a triangle from base and height, three sides, or two sides and the angle between them.Pascal's triangle generatorGenerate Pascal's triangle to any depth, with exact big-integer entries. Each number is the sum of the two above it, and row n holds the binomial coefficients — the coefficients of (a+b)ⁿ. The triangle hides the Fibonacci numbers, powers of two, and the Sierpinski pattern.

Triangle Orthocenter Calculator works straight from this page — free, instant, nothing to install. You will find it under Geometry, with Angle Bisector Calculator (triangle) and General Triangle Solver for the neighbouring cases.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What does Triangle Orthocenter Calculator do?

Find the orthocenter of a triangle (the intersection of its altitudes) from the three vertices, with the altitude equations and a diagram — note it can lie outside an obtuse triangle.

When would I actually use this?

Homework and site work alike: how much paint a wall takes, how much water a tank holds, whether a corner is square — and, on the coordinate side, the slope between two points, the distance across a plan, the midpoint of a span.

What is the most common mistake?

Mixing units inside one shape. Entering a length in centimetres and a width in metres gives an area wrong by a factor of a hundred, and the result looks perfectly plausible.

How is Triangle Orthocenter Calculator different from Angle Bisector Calculator (triangle)?

They sit next to each other but answer different questions: Angle Bisector Calculator (triangle) is the one to open when you need it to enter the three sides or the three vertices and get the length of each internal angle bisector, the incenter, the inradius, and the exact point where every bisector cuts the opposite side. The angle bisector theorem is the heart of it: the bisector splits the opposite side in the ratio of the two adjacent sides. The triangle inequality is checked before anything is computed, and the triangle is drawn with its three bisectors. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

General Triangle Solver is the closest one after this: Solve any triangle from 3 known values (SSS, SAS, ASA/AAS, SSA) with the laws of sines and cosines: all sides and angles, area, perimeter and type, handling the ambiguous SSA case (0, 1 or 2 triangles).

What else is worth having open alongside it?

Triangle Centroid Calculator and Equilateral triangle calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

The formulas are the classical ones and the results are exact to the precision shown — geometry does not change with the year or the country, so nothing here needs updating.

Further reading

All guides →
How-toHow to Find the Area of a Triangle: Base × Height and Heron's FormulaTwo reliable ways to find a triangle's area: half base times height when you know the height, and Heron's formula when you only know the three sides.ExplainerThe Flat Pattern of a Cone Is a Sector, Not a CircleRoll a 50 mm cone 80 mm tall and its pattern is a 190.8° slice of a 94 mm circle. Flatten a nearly cylindrical lampshade and the pattern radius runs to 839 mm — the shallower the taper, the further away the apex.How-toHow to Find the Distance Between Two PointsUse the distance formula d = √((x₂−x₁)² + (y₂−y₁)²) to measure the straight-line distance between two points on a plane, with a worked example and the midpoint too.How-toHow to Calculate the Slope of a Line: Rise Over RunFind the slope of a line from two points with m = (y₂ − y₁) / (x₂ − x₁), and read what a positive, negative, zero, or undefined slope tells you.ExplainerThe Pythagorean Theorem ExplainedIn a right triangle, a² + b² = c². Here's what the formula means, a worked example, how to find any side, and where it's used in real life.How-toHow to Calculate VolumeVolume is the space inside a shape. Here's how to find it for boxes, cylinders and spheres, and why keeping your units consistent is the whole game.