Perpendicular Calculator

The Perpendicular Calculator allows users to calculate the hypotenuse, perimeter, area, and angles of a right triangle given the base and height lengths.

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How to Use the Perpendicular Calculator

This guide will help you understand how to use the Perpendicular Calculator to compute various properties of a right-angled triangle. By providing the base and height, you can calculate the hypotenuse, perimeter, area, and angles of the triangle.

Step 1: Input Base Length

Start by entering the length of the base of the triangle in the provided input field labeled “Base Length”. It is crucial that this value is a positive number greater than 0.000001. You do not need to worry about the exact increments as the calculator accepts any numerical input, thanks to the flexibility provided by the ‘step’ parameter.

Step 2: Input Height Length

Next, enter the length of the height in the input field labeled “Height Length”. Similar to the base length, ensure this value is a positive number greater than 0.000001. The calculator again allows for any numerical input, enabling precision in your measurements.

Step 3: Calculate Results

Once you have entered both the base and height lengths, the calculator will automatically compute the following properties of the triangle:

  • Hypotenuse Length: Calculated using the formula sqrt(base² + height²). The result is displayed with four decimal places, ensuring accuracy.
  • Perimeter: Determined by summing up the base, height, and hypotenuse. The calculated perimeter is also precise to four decimal places.
  • Triangle Area: Obtained using the formula (base * height) / 2, providing a result precise to four decimal places.
  • Base Angle: This is calculated as atan(height/base) * (180/π) and displayed in degrees, formatted to two decimal places with a suffix of ‘°’.
  • Height Angle: Calculated with the formula atan(base/height) * (180/π), this angle is also shown in degrees, formatted to two decimal places and followed by ‘°’.

Conclusion

The Perpendicular Calculator is a powerful tool for determining the geometric properties of a right-angled triangle from just two initial measurements. With precise calculations and easy-to-understand outputs, this tool is perfect for students, teachers, engineers, and anyone interested in geometry.