To calculate the area of a triangle, we can use the formula for the area of a triangle given the lengths of its sides.
Given the side lengths of the triangle as 9, 23, and 28, we can calculate the area using Heron's formula.
First, we calculate the semiperimeter (s) of the triangle:
s = (9 + 23 + 28) / 2 = 60 / 2 = 30
Next, we can use Heron's formula to find the area (A) of the triangle:
A = √(s(s - a)(s - b)(s - c))
where a, b, and c are the side lengths of the triangle.
Plugging in the values:
A = √(30(30 - 9)(30 - 23)(30 - 28))
= √(30 * 21 * 7 * 2)
= √(8820)
≈ 93.89
Therefore, the area of the triangle with side lengths 9, 23, and 28 is approximately 93.89 square units.