What are the properties and applications of different types of triangles?

1. Equilateral Triangle: - All sides and angles are equal. - Ideal for constructing stable and symmetrical structures. - Commonly used in architecture and engineering for stability. 2. Isosceles Triangle: - Two sides and angles are equal. - Useful in creating balance and symmetry. - Widely used in geometry and design to achieve symmetry. 3. Scalene Triangle: - All sides and angles are different. - Valuable in trigonometry for calculating various angles and side lengths. - Used in navigation and surveying for distance and angle measurements. 4. Right Triangle: - One angle is 90 degrees. - Integral in trigonometry due to the Pythagorean theorem. - Crucial in engineering and physics for calculating forces and vectors. 5. Acute Triangle: - All angles are less than 90 degrees. - Important in trigonometry for various calculations involving ratios. - Applied in computer graphics and geometry for perspective calculations. 6. Obtuse Triangle: - One angle is greater than 90 degrees. - Used in trigonometry for calculations involving ratios. - Found in architecture and construction for creating unique angles. 7. Isosceles Right Triangle: - One angle is 90 degrees and two sides are equal. - Essential in geometry and trigonometry for special calculations. - Utilized in design and architecture for creating right-angle symmetry.