# Area and Perimeter of Shapes Tricks and Formulas

## Pythagoras Theorem

For right triangle ABC Right Triangle ABC Right Triangle ABC

For acute triangle ABC Acute Triangle ABC Acute Triangle ABC

For obtuse triangle ABC Obtuse Triangle ABC Obtuse Triangle ABC

## Area of Triangle

### When Lengths of the Sides Are Given When Lengths of the Sides Are Given When lengths of the sides are given

### When Lengths of the Base and Altitude Are Given When Lengths of the Base and Altitude Are Given When lengths of the base and altitude are given

### When Lengths of Two Sides and the Included Angle Are Given When Lengths of Two Sides and the Included Angle Are Given When lengths of two sides and the included angle are given

### For Equilateral Triangle Equilateral Triangle Are of Equilateral Triangle

### For Isosceles Triangle Isosceles Triangle Area of Isosceles Triangle

## Apollos Theorem

If AD is the median, then:

## Angle Bisector Theorem Angle Bisector Theorem Angle Bisector Theorem

If AD is the angle bisector for angle A, then:

## Area of Quadrilateral

### If Lengths of One Diagonal and Two Offsets Are Given If Lengths of One Diagonal and Two Offsets Are Given If lengths of one diagonal and two offsets are given

### If Lengths of Two Diagonals and the Included Angle Are Given If Lengths of Two Diagonals and the Included Angle Are Given If lengths of two diagonals and the included angle are given

### For Rhombus

The halves of diagonals and a side of a rhombus form a right angled triangle with side as the hypotenuse.

### For Rectangle

Perimeter of a rectangle

For Square

Area of a square

Area of 4 walls of a room

## Area of Regular Hexagon Regular Hexagon Area of Regular Hexagon

Area=

Or