Question

Find Area (∆le) formed by Joining mid points of sides of triangle with vertices (-4,-2),(-3,-5),(2,3) ​

Answer 1

since D,E and F are the midpoints of AB, BC and CA of triangle respectively

coordinate of D=( 20+2 ,

2−1+1 )=(1,0)

coordinate of E=( 22+0 , 21+3 )=(1,2)

coordinate of F=( 20+2 , 2−1+3 )=(0,1)

∴ar(△DEF)= 21

[1(2−1)+1(1−0)+0(0−2)]=1sq.unit

andar(△ABC)= 21

[0(1−3)+2(3+1)+0(−1−1)]=4sq.unit

ar(△ABC)

ar(△DEF)

= 41

⇒ar(△DEF):ar(△ABC)=1:4

It is Just an Example !

Hope next u can do urself !!

✪============♡============✿

$\huge \pink{✿} \red {C} \green {u} \blue {t} \orange {e} \pink {/} \red {Q} \blue {u} \pink {e} \red {e} \green {n} \pink {♡}$