Basic Geometry

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

Types of triangles:

Right angled triangle
Right angle Hypotenuse theorem
a² + b² = c²
Area = 12 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 = π3  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

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