Kamla has a triangular field with sides 240 m, 200 m, 360 m, where shegrew wheat. In another triangular field with sides 240 m, 320 m, 400 m adjacent to the previous field, she wanted to grow potatoes and onions. She divided the field in two parts by joining the mid point of the longest side to the opposite vertex and grew potatoes in one part and onions in one part. How much area (in hectares) has been used for wheat,potatoes and onions? ( 1 hectare = 10000 `m^2` )

Explanation

`E` is the midpoint of `AD`, then

`AE=ED=200m`

`bb"Area of wheat field" =ar/_\ABC`

`bb"Area of potato field" =ar/_\AEC`

`bb"Area of onion field" =ar/_\EDC`

`S=(200+240+360)/2=400`

​`Area=sqrt(400(400−200)(400−240)(400−360)=16000 sqrt(2)m^2`


...