The area of the triangle is 2√5 square units
The formula for finding the area of a triangle is expressed as:
A = 0.5bh
b is the base
h is the height of the triangle
Using the distance formula
b = AC = √(5-1)²+(0-2)²
base =√20
base = 2√5
For the height
h = √(1-3)²+(4-4)²
base =√2²
base = 2
Area = 0.5(2)(2√5)
Area = 2√5 square units
Hence the area of the triangle is 2√5 square units
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