Need to calculate the area of a triangle? Whether you're a student solving geometry homework or a professional working on construction projects, finding a triangle's area using base and height is simpler than you think. In this guide, we'll walk you through the formula, provide practical examples, and show you how to use our free calculator tool.
The most straightforward way to calculate a triangle's area is using the base and height. This method works for any type of triangle—right, acute, or obtuse.
The formula is elegant in its simplicity. The base is any side of the triangle, and the height is the perpendicular distance from that base to the opposite vertex (the point directly across from the base).
Imagine a rectangle with the same base and height as your triangle. The rectangle's area would be base × height. A triangle always occupies exactly half of that rectangle's space, which is why we divide by 2. This geometric principle applies to all triangles, regardless of their shape or size.
While the manual calculation is straightforward, our Triangle Area Calculator makes the process even faster and eliminates calculation errors.
Simply enter your base and height values, and the tool instantly provides your triangle's area. It's perfect for quick calculations, homework verification, or professional work. No sign-ups required—just input your numbers and get results immediately.
Calculate Triangle Area NowExample 1: A triangle with a base of 10 cm and height of 6 cm
Area = (10 × 6) ÷ 2 = 60 ÷ 2 = 30 cm²
Example 2: A triangle with a base of 15 meters and height of 8 meters
Area = (15 × 8) ÷ 2 = 120 ÷ 2 = 60 m²
No. Whether your triangle points up, down, or sideways, the formula remains the same. As long as you use the perpendicular height from your chosen base, the calculation is accurate.
Yes, absolutely. You can choose any of the three sides as your base, as long as you measure the perpendicular height to that specific base. The resulting area will always be the same regardless of which side you choose.
If you know all three sides but not the height, you can use Heron's formula instead. Alternatively, you might be able to calculate the height using the Pythagorean theorem if you have other triangle measurements.
A triangle is half of a rectangle with the same base and height. The rectangle's area is base × height, so dividing by 2 gives you the triangle's area. This principle is true for all triangles.
Your answer should be in square units (², squared) of whatever linear unit you measured with. If you measured in centimeters, your answer is in cm². If in meters, it's m². This indicates you're measuring area, not just length.
Bookmark this page for quick reference next time you need to calculate triangle areas.