Answer:
735.96 square inches
Step-by-step explanation:
To find the area of the triangle with side lengths 38.39, 24, and 30 units, we first utilized the Pythagorean theorem to confirm the triangle's validity, calculating the third side length to be approximately 38.39 units. With all three sides known, we then applied Heron's formula to find the triangle's area. Heron's formula relies on the semi-perimeter of the triangle, which we calculated as approximately 46.195 units. Substituting this value along with the side lengths into the formula, we determined the area to be approximately 651.96 square units. Thus, by combining the principles of the Pythagorean theorem and Heron's formula, we successfully found the area of the given triangle.
