How to Calculate the Area of Regular Polygons
Regular Triangle (Equilateral): Area \(A = \frac{\sqrt{3}}{4} \times \text{side}^2\) Regular Quadrilateral (Square): Area \(A = \text{side}^2\) Regular Pentagon: Area \(A = \frac{5}{4} \times \frac{\text{side}^2}{\tan(\frac{180}{5})}\) Regular Hexagon: Area \(A = \frac{3\sqrt{3}}{2} \times \text{side}^2\) Examples Practice Questions: Find the area of an equilateral triangle with a side length of \(9 \text{ cm}\). What is the area of […]
Understanding Trigonometry: How to Calculate the Area of Triangles
Examples Practice Questions: Given triangle \(XYZ\) with \(XY = 6 \text{ cm}\), \(YZ = 9 \text{ cm}\), and angle \(Y = 30^\circ\), find its area. For triangle \(LMN\), if \(LM = 4 \text{ cm}\), \(MN = 5 \text{ cm}\), and angle \(M = 90^\circ\), calculate the area. \( 13.5 \text{ cm}^2 \) \( 10 \text{ […]
