Right triangle
A right triangle is a geometric shape with three sides in which one of the angles is a right angle, exactly 90 degrees
A right triangle is a geometric shape with three sides in which one of the angles is a right angle, exactly 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are known as the legs.
The Pythagorean Theorem, formulated by the ancient Greek mathematician Pythagoras, is a fundamental concept closely associated with right triangles. It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs. Mathematically, this can be expressed as:
c² = a² + b²
Where c represents the length of the hypotenuse, and a and b represent the lengths of the legs.
Right triangles have several important properties and relationships. Some common trigonometric functions, such as sine, cosine, and tangent, are defined based on the ratios of the sides of a right triangle. These functions are widely used in various fields, including physics, engineering, and navigation.
Additionally, right triangles are often used to solve real-world problems involving distance, height, and angles. They provide a foundational understanding of geometric concepts and serve as building blocks for more advanced topics in mathematics.
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