Triangle Area Calculator
Calculate the area of a triangle using base and height, Heron's formula, or two sides and an included angle. Shows perimeter and step-by-step solutions.
How to Use the Triangle Area Calculator
- Enter the required dimensions (length, width, radius, height, etc.).
- The area, volume, or other geometric value is computed instantly.
- Review the result along with the formula used.
- Adjust dimensions to compare different scenarios.
Riferimento Rapido
| Da | A |
|---|---|
| b=4, h=3 | 6 |
| b=6, h=4 | 12 |
| b=10, h=5 | 25 |
| b=10, h=8 | 40 |
| b=15, h=10 | 75 |
| b=20, h=12 | 120 |
Casi d'Uso
- •Calculating dimensions for home improvement or DIY projects.
- •Solving geometry problems for school or professional exams.
- •Estimating material quantities needed for construction work.
- •Planning layouts and designs with precise measurements.
Formula
Formulas: (1) S = ½ah (base × height), (2) Heron's: S = √(s(s−a)(s−b)(s−c)) where s = (a+b+c)/2, (3) S = ½ab·sin(C) (two sides + included angle).
Domande Frequenti
How do I find the area of a triangle with base and height?
Multiply the base by the height and divide by 2: S = ½ × base × height.
What is Heron's formula?
Heron's formula calculates area from all three sides: S = √(s(s−a)(s−b)(s−c)), where s is the semi-perimeter (a+b+c)/2.
How do I calculate area with two sides and an angle?
Use S = ½ × a × b × sin(C), where C is the angle between sides a and b.
What is the triangle inequality?
The sum of any two sides must be greater than the third side. If this condition fails, the triangle cannot exist.