What is the formula for calculating the area of a right-angled triangle?

The area of a right-angled triangle can be accurately calculated using the formula that is derived from the general area formula for triangles. This formula states that the area is equal to half the product of the base and the height. In a right-angled triangle, one leg serves as the base and the other leg serves as the height since they meet at a right angle. This means that both dimensions contribute to forming the area of the triangle effectively.

Using the formula A = 1/2 × base × height allows you to confidently determine the area of any right-angled triangle as long as you can identify the lengths of these two perpendicular sides. This method provides a clear and efficient way to perform the calculation.

Other options presented do not apply to the area of a right-angled triangle. For example, multiplying the base and height directly without the factor of one-half would yield the area of a rectangle instead. The option suggesting to multiply by 2 is also incorrect as it would result in an exaggerated area calculation. Lastly, the formula πr² relates specifically to the area of a circle and is not applicable when calculating the area of a triangle, right-angled or otherwise.