The area of the triangle is 2376 square inches
Areas
The area of a shape is the amount of space occupied by the shape
Area of triangle
Given the three sides of the triangle, the area of the triangle is calculated using:
[tex]Area = \sqrt{s(s- a)(s -b)(s - c)}[/tex]
Where s represents the semi-perimeter, and it is calculated using
[tex]s = \frac{a + b + c}{2}[/tex]
In this case, we have:
[tex]s = \frac{66 + 98 + 72}{2}[/tex]
[tex]s = \frac{236}{2}[/tex]
[tex]s = 118[/tex]
Recall that:
[tex]Area = \sqrt{s(s- a)(s -b)(s - c)}[/tex]
So, we have:
[tex]Area = \sqrt{118 \times (118 - 66) \times (118 - 98) \times (118 - 72)}[/tex]
[tex]Area = \sqrt{5645120}[/tex]
Evaluate the root
[tex]Area = 2376[/tex]
Hence, the area of the triangle is 2376 square inches
Read more about areas at:
https://brainly.com/question/10117243
