Answer:
Area of Triangle ABC =
unit² or 7.32 unit²
Explanation:
Given coordinates of Triangle are
A = ( 1 , 1)
B = ( 4 , 0)
C = ( 3 , 5)
So , The measure of side AB is
AB =

or, AB =

Or, AB =

∴ AB =

Again ,
The measure of side BC is
BC =

or, BC =

Or, BC =

∴ BC =

Similarly ,
The measure of side CA is
CA =

or, CA =

Or, CA =

∴ CA =

Now, let D be the mid points of side BC
So, Points ( D ) =
,

I.e points d =
,

Or, points D =
,

Now Measure of line AD is
AD =

AD =
+

Or, AD =(
)² + (
)²
Or, AD =

Now, Area of Triangle ABC =
× length × base
or, Area of Triangle ABC =
× AD × BC
or, Area of Triangle ABC =
×
×

Or, Area of Triangle ABC =
unit² or , 7.32 unit² Answer