Area of a Right Triangle

In a right triangle, the lengths of the two legs are given as 6 units and 8 units. Using the Pythagorean theorem, determine the length of the hypotenuse of the triangle.

After finding the hypotenuse, calculate the area of the triangle. The area of a triangle can be calculated using the formula:

Area = 0.5 × base × height

For the right triangle, you can consider one leg as the base and the other leg as the height. Provide your answer for the area as an improper fraction.