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Geometry

right triangle - converse of Pythagorean theorem

Converse of the Pythagorean Theorem – Formulas and Examples

The Pythagorean theorem is the most used in trigonometry and allows us to calculate the length of one of the … Read more

Categories Geometry
example 3 of vertical angles theorem

Vertical Angles Theorem with Examples

Vertical angles are formed at the intersection of two lines. The vertical angles theorem tells us that the vertical angles … Read more

Categories Geometry
height of a scalene triangle

Height of a Scalene Triangle – Formulas and Examples

The height of a triangle is the perpendicular distance from the base to the opposite vertex. We can calculate the … Read more

Categories Geometry
diagram to prove the second case of inscribed angles

Inscribed Angle Theorem – Cases and Proofs

The inscribed angle theorem indicates that when we have a central angle and an inscribed angle that intersect in the … Read more

Categories Geometry
inscribed angle, central angle and intersected arc

Inscribed Angle Theorem – Formulas and Examples

The inscribed angle theorem is one of the most important theorems in geometry. This theorem tells us that when we … Read more

Categories Geometry
example of complementary adjacent angles

Adjacent Angles – Definition, Properties and Examples

Adjacent angles are angles that have a common vertex and a common side but do not overlap. Recall that a … Read more

Categories Geometry
example 1 of Thales' theorem -

Examples and Problems with Thales’ Theorem

Thales’ theorem tells us that a triangle inscribed in a circle, where the hypotenuse corresponds to the diameter of the … Read more

Categories Geometry
Thales' theorem diagram

Thales’ Theorem – Explanation and Examples

Thales’ theorem tells us that the diameter of a circle always forms a right triangle when we connect it to … Read more

Categories Geometry
3D Pythagorean theorem formula

3D Pythagorean Theorem – Formula and Examples

The 3D Pythagorean theorem is an extension of the 2D Pythagorean theorem that can be used to solve problems in … Read more

Categories Geometry
diagram of a triangle with sides and height

Equilateral, Isosceles and Scalene Triangles

A triangle is a three-sided polygon that has three vertices and three interior angles. The sum of the interior angles … Read more

Categories Geometry
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