Final answer:
The area of triangle JKL with sides j = 95 inches, k = 25 inches, and l = 80 inches is found using Heron's formula, and it is approximately 866.0254 square inches.
Step-by-step explanation:
To find the area of triangle JKL with sides j = 95 inches, k = 25 inches, and l = 80 inches, we can use Heron's formula. Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is given by:
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
For triangle JKL:
- s = (95 + 25 + 80) / 2
- s = 200 / 2
- s = 100 inches
Now, we can calculate the area:
Area = √[100(100 - 95)(100 - 25)(100 - 80)]
Area = √[100(5)(75)(20)]
Area = √[750000]
Area = 866.0254 square inches
Therefore, the area of triangle JKL is approximately 866.0254 square inches.