Математика
Проверенный калькулятор с прозрачной формулой
Area of a Triangle Calculator.
Calculates the area of a triangle given its base and height, or using Heron's formula with three side lengths.
Ваши данные
Как это работает
- 1
Enter the base length of the triangle.
- 2
Enter the height (perpendicular distance from base to opposite vertex).
- 3
Multiply base by height.
- 4
Divide the product by 2 to get the area.
0.5 * base * heightЧасто задаваемые вопросы
What if I only know the three side lengths?
Use Heron's formula: s = (a+b+c)/2, area = sqrt(s(s-a)(s-b)(s-c)). This calculator uses base and height, but you can compute the height from sides if needed.
Can the base and height be in any unit?
Yes, as long as they are in the same unit. The area will be in square units of that unit.
What if the base or height is zero?
The area will be zero, which is correct for a degenerate triangle.
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Результаты
Формула проверенаArea
25sq units
Оценка только для общего руководства — проверяйте важные решения с соответствующим специалистом.
Как это работает
Calculates the area of a triangle given its base and height, or using Heron's formula with three side lengths.
- Enter the base length of the triangle.
- Enter the height (perpendicular distance from base to opposite vertex).
- Multiply base by height.
- Divide the product by 2 to get the area.
Формулы
Математика, лежащая в основе этого калькулятора, изложена так, чтобы вы могли проверить результат.
Standard formula
The area of a triangle is half the product of its base and the perpendicular height.
Example:
Input: base = 10, height = 5
Calculation: (10 × 5) / 2
Result: 25 square units
Примеры из реальной жизни
Где этот расчет встречается в повседневной жизни.
Construction and carpentry
Calculate the area of triangular roof sections or gable ends to estimate materials.
Example: A gable with base 20 ft and height 8 ft has area 80 sq ft.
Land surveying
Determine the area of triangular plots of land when base and height are known.
Example: A triangular lot with base 100 m and height 60 m has area 3000 m².
Geometry homework
Quickly verify answers for triangle area problems.
Example: Base 6 cm, height 4 cm gives area 12 cm².
Советы и частые ошибки
Tips
- Ensure the height is perpendicular to the base, not a slanted side.
- Use consistent units for base and height.
- For right triangles, the two legs can serve as base and height.
- Double-check your measurements to avoid errors.
Common Mistakes to Avoid
- Using a slanted side as the height.
- Forgetting to divide by 2.
- Mixing units (e.g., base in meters, height in centimeters).
Допущения и ограничения
- Use the stated inputs and units.
- Results are estimates for planning and education.
- Check measurements and source data before making an important decision.