# Basic Geometry

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 Square: Perimeter = 4s Area = s2 Rectangle: Perimeter = 2 (l + w) Area = l (x) w Triangle: Perimeter = a + b + c Area = 1/2 x b x h Sum of all the angles in a triangle = 180° #### Types of triangles:

 Right angled triangle Right angle Hypotenuse theorem a² + b² = c² Area = 1⁄2 ab Here a is the base and b is the height Isosceles triangle Two sides of a triangle are equal. Two angles of a triangle are equal. Equilateral triangle All sides of the triangle are equal Each angle of the triangle are 60°. Scalene triangle (No sides are equal) No two sides are equal in scalene triangle.  Rectangular solid: Volume = l x w x h Surface Area = 2 ( lw + wh + lh) Cone: Volume = π⁄3  r² h Surface Area = π r  Sphere: Volume = 4/3 πr³ Surface Area = 4πr²
Example: If a square has an Area of 81 m². Find the perimeter of the square.
Answer: Area = s² = 81
s = √81
s = 9 m
Perimeter of square = 4s = 4 x 9 = 36 m