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Practice the Pythagorean Theorem with Engaging Worksheets

Pythagorean Theorem Worksheet

Explore our Pythagorean Theorem worksheet to understand and solve right triangle problems. These worksheets include step-by-step solutions, practical examples, and guided exercises for better comprehension.

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Key Terms & Definitions

Essential concepts and terminology to understand this topic

Pythagorean Theorem

A mathematical principle stating that the square of the hypotenuse is equal to the sum of the squares of the other two sides in a right triangle.

Related Terms:Right Triangle Geometry

Right Triangle

A triangle with one angle exactly equal to 90 degrees.

Related Terms:Right Angle

Hypotenuse

The longest side of a right triangle, opposite the right angle.

Related Terms:Triangle Side

Legs of a Triangle

The two shorter sides of a right triangle that form the right angle.

Related Terms:Base and Height

Square of a Number

The result of multiplying a number by itself.

Related Terms:Exponentiation

Triangle Inequality

A rule stating that the sum of any two sides of a triangle must be greater than the third side.

Related Terms:Geometric Properties

Pythagorean Triples

Sets of three positive integers that satisfy the Pythagorean Theorem.

Related Terms:Integer Solutions

Area

The amount of space enclosed within a shape, calculated for a triangle as 1/2 × base × height.

Related Terms:Geometric Measurement

Perimeter

The total length of all the sides of a triangle or other polygon.

Related Terms:Boundary Length

Distance Formula

A formula derived from the Pythagorean Theorem to calculate the distance between two points in a plane.

Related Terms:Cartesian Geometry

Cartesian Plane

A two-dimensional coordinate system defined by perpendicular axes (x-axis and y-axis).

Related Terms:Graphing

Acute Angle

An angle that measures less than 90 degrees.

Related Terms:Triangle Angles

Obtuse Angle

An angle that measures more than 90 degrees but less than 180 degrees.

Related Terms:Triangle Angles

Similar Triangles

Triangles with the same shape but not necessarily the same size, having proportional sides and equal angles.

Related Terms:Geometric Similarity

Proofs of the Pythagorean Theorem

Logical and mathematical demonstrations that validate the truth of the Pythagorean Theorem.

Related Terms:Mathematical Proofs

Frequently Asked Questions