The area of the triangle is(round to the nearest tenth as needed) of the 8 in. by 13 in. by 15.3 in.
To find the area of the triangle, we can use Heron's formula:
s = (a + b + c) / 2, where a, b, and c are the lengths of the sides of the triangle.
Then, the area of the triangle is given by:
A = sqrt(s(s-a)(s-b)(s-c))
Using the given dimensions, we have:
a = 8 in.
b = 13 in.
c = 15.3 in.
s = (8 + 13 + 15.3) / 2 = 18.65 in.
A = sqrt(18.65(18.65-8)(18.65-13)(18.65-15.3)) = 61.8 in^2 (rounded to the nearest tenth)
Therefore, the area of the triangle is approximately 61.8 square inches.