Find The Area of The Following Triangle Calculator

Calculating the area of a triangle is a fundamental geometry skill used in many practical applications. This calculator provides an easy way to find the area of any triangle when you know the base and height, or when you have the lengths of all three sides.

How to Use This Calculator

To find the area of a triangle, you need to know either:

The base and height of the triangle
All three side lengths of the triangle

Select the appropriate method in the calculator, enter the required values, and click "Calculate". The calculator will display the area in square units.

Formula for Triangle Area

The basic formula for the area of a triangle is:

Area = (base × height) / 2

When you know all three sides of the triangle, you can use Heron's formula:

Area = √[s(s - a)(s - b)(s - c)]

Where s = (a + b + c)/2 is the semi-perimeter

Note: All angles in a triangle must sum to 180 degrees, and the sum of any two sides must be greater than the third side for a valid triangle.

Worked Examples

Example 1: Using Base and Height

Find the area of a triangle with base = 8 units and height = 5 units.

Area = (8 × 5) / 2 = 20 square units

Example 2: Using Heron's Formula

Find the area of a triangle with sides a = 5, b = 6, c = 7.

s = (5 + 6 + 7)/2 = 9

Area = √[9(9-5)(9-6)(9-7)] = √[9×4×3×2] = √108 ≈ 10.392 square units

Frequently Asked Questions

What is the difference between base and height in a triangle?: The base is any side of the triangle, while the height is the perpendicular distance from the base to the opposite vertex.
Can I use this calculator for any type of triangle?: Yes, this calculator works for all types of triangles: equilateral, isosceles, scalene, right-angled, and obtuse.
What units should I use for the sides and height?: The calculator accepts any consistent units (inches, centimeters, meters, etc.), but the result will be in the square of those units.
What if my triangle doesn't have a right angle?: For non-right triangles, you can either use the base-height method if you know the height, or use Heron's formula if you know all three sides.