Final answer:
To find the area of triangle ABC with sides a = 53, b = 60, and c = 72, we can use Heron's formula. The area is approximately 594.73 square units.
Step-by-step explanation:
To find the area of triangle ABC, we can use Heron's formula. Heron's formula states that the area of a triangle with sides a, b, and c is given by:
Area = sqrt(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, which is calculated as:
s = (a + b + c) / 2
For the given triangle ABC with sides a = 53, b = 60, and c = 72, we can substitute the values into the formula to find the area:
Area = sqrt(63(63-53)(63-60)(63-72))
Area ≈ 594.73 square units