Question

find the area of a quadrilateral whose sides are 120,122,26,24cm​

Answer 1

Answer:

24 cm

Step-by-step explanation:

According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is  

A=  

s(s−a)(s−b)(s−c)

​  

 

where

s=  

2

a+b+c

​  

 

For the given triangle,

a=18 cm  

b=24 cm  

c=30 cm  

s=  

2

18+24+30

​  

=36

A=  

36(36−18)(36−24)(36−30)

​  

 

A=  

36×18×12×6

​  

 

A=  

216×216

​  

 

=216  cm  

2

 

Smallest side =18 cm

Area of the triangle =  

2

1

​  

×base×altitude=216

2

1

​  

×18× altitude=216

Altitude =  

9

216

​  

=24 cm