Area of a Right Triangle Calculator
Find the area of a right triangle from its two legs.
In a right triangle the two legs are perpendicular, so they act directly as base and height.
How the Math Works
The area of a right triangle is calculated using the simple formula: area = ½ × base × height. Since a right triangle has two legs that form the 90-degree angle, we can use these two sides (called 'a' and 'b') as the base and height. The formula works because a right triangle is exactly half of a rectangle when you draw a line from the right angle to the hypotenuse - so we multiply the two legs together and divide by 2 to find the triangle's area.
Practical Applications
To use this calculator, simply enter the length of the two legs of your right triangle. For example, if you're building a triangular garden bed with sides measuring 10 feet and 15 feet, plug these values into the calculator to instantly get the area in square feet. This is especially useful for construction projects, geometry homework, or any situation where you need to determine how much material you'll need to cover a right triangular surface.
Day-to-Day Use
Knowing how to calculate a right triangle's area helps in everyday situations like determining how much sod or mulch to buy for a triangular yard section, calculating the amount of paint needed for a triangular wall, or figuring out if a triangular tablecloth will fit your triangular table. It's also handy for DIY projects, home improvement tasks, and quickly estimating materials for crafts or sewing projects involving triangular shapes.
Worked example
Legs 6 and 8 → area = ½ × 6 × 8 = 24, hypotenuse 10.
FAQ
Do I need the hypotenuse for the area?
No — only the two perpendicular legs are needed.