Answer:
Area of the triangle covered by the cars = 910.45 square km
Step-by-step explanation:
Since, all the sides of triangle ABC are given,
And formula for the area of a triangle with all sides given is,
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Here, s = [tex]\frac{a+b+c}{2}[/tex]
And a, b, c are the measures of the sides of the triangle.
If a = 39 km, b = 87 km and c = 58 km
s = [tex]\frac{39+87+58}{2}[/tex]
s = 92
Therefore, (s - a) = 92 - 39
= 53
(s - b) = 92 - 87
= 5
(s - c) = 92 - 58
= 34
Now area of the triangle ABC = [tex]\sqrt{92(53)(5)(34)}[/tex]
= [tex]\sqrt{828920}[/tex]
= 910.45 km²
Area of the triangle covered by the cars = 910.45 square km
