Triangle Area Calculator

Calculate the area of a triangle using base and height: Area = ½ × base × height

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

1. Identify the base: Choose any side of the triangle
2. Find the height: Measure the perpendicular distance from the base to the opposite vertex
3. 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.