A right triangle is a type of triangle that has one angle equal to \(90 ^\circ \) (a right angle). It is a fundamental shape in geometry and is widely used in trigonometry, construction, and physics. Right triangles are unique because their sides and angles follow specific relationships, making them essential for solving real-world and theoretical problems.
The relationship between the sides of a right triangle is given by:
\[ a^2 + b^2 = c^2 \]
This formula helps calculate the length of any side when the other two sides are known.
The area of a right triangle is calculated using:
\[ A = \frac{1}{2} \ ab = \frac{1}{2} \ ch\]
Where:
The reciprocal of the square of the height (\(h\)) is related to the squares of the legs:
\[\frac{1}{h^2} = \frac{1}{a^2} + \frac{1}{b^2}\]
Using the segments of the hypotenuse( \(AH\) and \(BH\) ) divided by the height \(h\)