Try this Drag the orange dots on each vertex to reshape the triangle.
Notice it always remains a right triangle, because the angle ∠ABC is always 90 degrees.

a^{2} + b^{2} = h^{2}

where
h is the length of the
hypotenusea,b are the lengths of the the other two sides

Hypotenuse | The side opposite the right angle. This will always be the longest side of a right triangle. |

Sides | The two sides that are not the hypotenuse. They are the two sides making up the right angle itself. |

- A right triangle can also be isosceles if the two sides that include the right angle are equal in length (AB and BC in the figure above)
- A right triangle can never be equilateral, since the hypotenuse (the side opposite the right angle) is always longer than either of the other two sides.

You can construct right triangles with compass and straightedge given various combinations of sides and angles. For a complete list see Constructions - Table of Contents.

- Triangle definition
- Hypotenuse
- Triangle interior angles
- Triangle exterior angles
- Triangle exterior angle theorem
- Pythagorean Theorem
- Proof of the Pythagorean Theorem
- Pythagorean triples
- Triangle circumcircle
- Triangle incircle
- Triangle medians
- Triangle altitudes
- Midsegment of a triangle
- Triangle inequality
- Side / angle relationship

- Perimeter of a triangle
- Area of a triangle
- Heron's formula
- Area of an equilateral triangle
- Area by the "side angle side" method
- Area of a triangle with fixed perimeter

- Right triangle
- Isosceles triangle
- Scalene triangle
- Equilateral triangle
- Equiangular triangle
- Obtuse triangle
- Acute triangle
- 3-4-5 triangle
- 30-60-90 triangle
- 45-45-90 triangle

- Incenter of a triangle
- Circumcenter of a triangle
- Centroid of a triangle
- Orthocenter of a triangle
- Euler line

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All rights reserved