Triangle Calculator
Calculate area, find base, or find height
Area of Triangle
30.00
Right Triangle
A = ½ × b × h
📐 Formula
A = ½ × b × h
Area = ½ × Base × Height
📝 Step-by-Step
💡 Did you know?A triangle is the strongest shape in engineering and architecture!
What is a Triangle Area Calculator?
A triangle area calculator is a tool that helps you find the area of a triangle quickly and accurately. Whether you're a student learning geometry, a teacher preparing lessons, or a professional needing quick calculations, this tool makes it easy.
Formula
A = ½ × b × h
Where A = Area, b = Base, h = Height
Example
Example: Find the area of a triangle with base 10 cm and height 6 cm
A = ½ × b × h
A = ½ × 10 × 6
A = 30 cm²
Common Uses
- ▸Construction: Calculating triangular roofs, trusses, and land plots
- ▸Architecture: Designing triangular facades, windows, and structures
- ▸Engineering: Calculating triangular cross-sections and components
- ▸Art & Design: Creating triangular patterns and compositions
- ▸Education: Students learning geometry and trigonometry
Frequently Asked Questions
Why do we divide by 2 in the triangle area formula?
A triangle is exactly half of a rectangle or parallelogram with the same base and height. That's why we multiply base × height and then divide by 2.
What if I don't know the height?
If you know all three sides of the triangle, you can use Heron's formula. If you have a right triangle, you can also use the Pythagorean theorem to find the height.
What is Heron's formula?
Heron's formula allows you to calculate the area of any triangle when you know all three side lengths. It is: A = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter.