Tiger Algebra Calculator

Find area of triangle given by its 3 sides

To find the Area of Triangle given its 3 sides, enter the sizes of the three sides seperated by commas and wrapped in parentheses. Tiger Algebra will show you the step by step solution. Sample input:

(3, 4, 5)

To find the area of a triangle given its three sides (also known as the side-length formula), you can use Heron's formula. Heron's formula allows you to calculate the area of a triangle using its side lengths alone.

Heron's Formula

Heron's formula states that the area $A$ of a triangle with side lengths $a$ , $b$ , and $c$ is given by:

A = \sqrt{s (s - a) (s - b) (s - c)}

,
where

s

is the semi-perimeter of the triangle, calculated as:

s = \frac{a + b + c}{2}

Example

Let's find the area of a triangle with side lengths 5, 6, and 7:

a = 5, b = 6, c = 7

s = \frac{5 + 6 + 7}{2} = 9

A = \sqrt{9 (9 - 5) (9 - 6) (9 - 7)}

A = \sqrt{9 (4) (3) (2)} = \sqrt{216}

A \approx 14.7

Therefore, the area of the triangle is approximately 14.7 square units.

Heron's formula provides an efficient method for finding the area of a triangle when you know the lengths of its sides.

Tiger Algebra Calculator

Find area of triangle given by its 3 sides

Heron's Formula

Example

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