Geometry solver

Snap the figure.
Get the theorem.

Geometry is the subject where retyping the question is impossible. The information is in the diagram: the tick marks, the right-angle square, the labels on the sides. Draw a box around the whole figure and Solvecoon works from what the picture actually says.

Free to try — 5 solves every day. No credit card.

How it works

1

Snap the whole figure

Include the labels, the given values, and the question text underneath it.

2

See which theorem applies

Pythagoras, similar triangles, the angle sum, the inscribed angle theorem: named before it is used.

3

Follow the chain

Angle chasing is written as a chain, each angle justified by the rule that produced it.

What it handles

Triangles

Pythagoras, area, congruence and similarity, and the sine and cosine rules.

Angles

Parallel lines, polygons, circles, and the multi-step chases that combine them.

Area and perimeter

Composite shapes, sectors, and the subtract-the-hole problems.

Volume and surface area

Prisms, cylinders, cones, spheres, and the frustum questions built from them.

Coordinate geometry

Distance, midpoint, gradient, equations of lines, and circles.

Two-column proofs

Statements paired with the reason each one is allowed.

A real one, worked out

This is the shape of every answer: the result first, then the reasoning that got there.

Question

A right triangle has legs of 7 cm and 24 cm. Find the hypotenuse and the area.

Answer

Hypotenuse 25 cm, area 84 cm squared

Steps

  1. 1The right angle sits between the two given sides, so both are legs.
  2. 2Pythagoras: c^2 = 7^2 + 24^2 = 49 + 576 = 625.
  3. 3Take the root: c = 25 cm. This is the 7-24-25 triple.
  4. 4Area of a right triangle is half the product of the legs: (1/2)(7)(24).
  5. 5Area = 84 cm squared. Units are squared because two lengths were multiplied.

The hypotenuse is never a leg in the area formula. Using 25 as a base is the classic wrong turn here.

Solvecoon raccoon mascot

Include the tick marks. They are doing more work than the numbers.

What it will not do

  • It will not read a diagram that is only partly inside your selection.
  • It will not assume a diagram is to scale. Values must be labelled or given.
  • It will not be used on graded quizzes or proctored exams.
  • It will not always write a proof in your teacher's exact two-column format. Ask for it and it will.

Solvecoon is a study aid, not an answer machine. Exams, graded quizzes, and proctored tests are off limits — see the acceptable use policy.

Questions people ask

Can it work from a diagram alone?
It works from what the diagram labels. If a side is unlabelled and the question depends on it, it will say what is missing rather than measure pixels.
Does it do proofs?
Yes, as a chain of statements with a reason attached to each. Ask for two-column format and it will lay it out that way.
Will it keep the units right?
Yes, and it flags the squared and cubed units, which is where marks are usually lost.
What about 3D questions?
Volume, surface area, and Pythagoras in three dimensions are all covered. Snap the net or the solid with its labels.
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Free to try — 5 solves every day. No credit card.