Answer :
Answer:
62.1467 square units (correct to four decimal places)
Step-by-step explanation:
Let's say the triangle is;
A(-7,5)
B(-4,1)
C(0,1)
Let's say also that AB = a , BC = b and AC = c
By measurement BC = 4 units , AB = 5 units (applying Pythagorean theorem) and AC = 8.1 units (correct to one decimal place) also through Pythagorean theorem.
Area of this triangle = [tex]\sqrt{p(p-a)(p-b)(p-c)}[/tex] , where p is half the perimeter of the triangle
p = [tex]\frac{1}{2}(4 + 8 + 8.1) = 8.55[/tex] units
Area = [tex]\sqrt{8.55(8.55-5)(8.55-4)(8.55-8.1)}[/tex] = 62.1467 square units (correct to four decimal places)