Final answer:
To find the area of a triangle, use the formula Area = 1/2 * base * height. In a right triangle, you can use the Pythagorean Theorem to find the base.
Step-by-step explanation:
To find the area of a triangle, we use the formula: Area = 1/2 * base * height. In this case, the base is not given, but we are given the height and hypotenuse of the triangle. Since it is a right triangle, we can use the Pythagorean Theorem to find the base. The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. So we have: 15^2 = base^2 + 12^2. Solving for the base, we get: base = sqrt(15^2 - 12^2). Once we have the base, we can substitute it into the area formula to find the area of the triangle.