Triangle Area Calculator
Calculate the area of a triangle using base and height: Area = ½ × base × height
Enter Base and Height
Step-by-Step Solution:
1. Formula: Area = ½ × base × height
2. Substitute: Area = ½ × 10 × 8
3. Multiply: Area = ½ × 80
4. Result: Area = 40 square units
Triangle Area Formula
Area = ½ × base × height
where: - base = length of any side of the triangle - height = perpendicular distance from that base to the opposite vertex
How to Find Triangle Area
- Identify the base: Choose any side of the triangle
- Find the height: Measure the perpendicular distance from the base to the opposite vertex
- Apply the formula: Multiply base × height, then divide by 2
Why the Formula Works
A triangle is exactly half of a parallelogram with the same base and height. Since a parallelogram's area is base × height, a triangle's area is ½ × base × height.
Real-World Applications
Triangle area calculations are used in: - Architecture and construction - Land surveying - Graphic design - Engineering - Art and geometry
Common Questions
What is the formula for triangle area?
The triangle area formula is Area = ½ × base × height, where base is the length of one side and height is the perpendicular distance to that side.
Why is triangle area half of base times height?
A triangle is half of a parallelogram with the same base and height. Since a parallelogram's area is base × height, a triangle's area is ½ × base × height.