Table of Contents

 

The concept and basic properties of right triangles

The definition of a right triangle and the name of its sides

The criteria for a right triangle

The congruence of right triangles

The similarity of right triangles

Types of right triangles

The area of a right triangle. Formulae

Proportional line segments in a right triangle

Squares inscribed into a right triangle

 

 

The sides of the right triangle and their properties

Pythagorean theorem

Converse of the Pythagorean theorem

Properties of the sides of a right triangle

 

 

The angles of the right triangle and their properties

Properties of the angles of a right triangle

The angle between the angle bisector and the height

 

 

Height in a right triangle

The height of a right triangle and similar triangles

Formulas of the height of a right triangle

The height and hypotenuse

The height and leg

 

 

Median in a right triangle

The median drawn to the hypotenuse. Properties

Formulas of the median of a right triangle

 

 

Circumscribed and inscribed circle and right triangle

The radius of a circle inscribed in a right triangle. Formulas

Radius of the circumscribed circle

Relationship between the inscribed circle’s radius and the circumscribed circle’s radius of a right triangle

The perimeter of a right triangle in terms of the inscribed circle’s radius and the circumscribed circle’s radius

Thales’ theorem. Statement on the inscribed angle subtended by the diameter of the circle

 

 

The right isosceles triangle

The definition of a right isosceles triangle and its properties