Mensuration

Main Formulas of Mensuration.....

1.Triangle

2.Quadrilateral

3.Circle

4.Cylinder

5.Cone

6.Prizm

lets starts with Triangle

1.Scalene Triangle-( all sides having different lengths)

*Area=½ base*height

*Ares=√ s(s-a)(s-b)(s-c)

where

s=(a+b+c)/2

*Perimeter=a+b+c

2. Isosceles Triangle-(two sides having same length....b=c)

*Area=½*base*height

*Area=√ s(s-a)(s-b)²

s=(a+2b)/2

*Perimeter=a+2b

3. Equilateral Triangle ( all sides having same length...a=b=c)

*Area=√3/4* a²

*Height=√3/2 * a

*Perimeter=3a

*Radius of circle inside Triangle=a/2√3

*Radius of Circle Outside Triangle=a/√3

4.Right Angled Triangle

*Area=½*base*height

h²=b²+p²

*Perimeter = h+b+p

(h=hypotenuse ,b=base, p=perpendicular)

*Radius of Circle inside triangle

r=b*p/(b+p+h)

*radius of circle outside triangle=h/2

**In radius of Any triangle=2*area/perimeter
**Circumradius of any triangle - a * b * c / 4 * area