Answer:
74594.2 m
Step-by-step explanation:
Heron's formula
area=sqrt(p(p-a)(p-b)(p-c)) where p=(a+b+c)/2
[tex]\sqrt{641.5(641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]The total amount of area of the triangle which she has covered is 74594.17.
A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
Area of triangle = 1/2 ×base ×height.
Given that A woman hikes 503 m, turns and jogs 415 m, turns again, and runs 365 m returning to her starting point
so the triangle which is made by the woman(no matter what kind of triangle is) has a side as
A = 503m , B = 415m , C = 365m
Now S = (A + B + C)/2
S = (503 + 415 + 365)/2
S = 641.5
Now the area of a triangle is given by
Area = [tex]\sqrt{S(S - A)(S -B)(S - C)}[/tex]
Area = [tex]\sqrt{641.5 (641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]
Area = 74594.17 hence, the area of the triangle will be this.
For more information about triangle
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