# Triangle Area Calculator

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## How to use the Triangle Area Calculator?

You can use this triangle calculator to find different values related to a triangle. Follow these steps:

1. Choose the value you want to calculate from the "Solve for" dropdown list.
2. Select the set of values you already have for calculation from the "Given" list.
3. Enter the values.
4. Click "Calculate" to get a step-by-step solution.

## Area of a Triangle Calculator

The Triangle area calculator aka sss triangle calculator helps you to calculate the area of a triangle. Not only area but the area of a triangle calculator also gives you the liberty to solve the triangular equation for any value such as:
•    Base b
•    Area A
•    Sides
•    Gamma γ
•    Parameter
In the post below, you will learn how to find the area of a triangle, how to calculate the length of a triangle, and the formula for the area of a triangle.

By using this right-angle triangle calculator, find the area, base, or height of a triangle. You can calculate the centroid of a triangle using our centroid triangle calculator.

## What is a Triangle?

According to Wikipedia
“A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by ∆ ABC.”
It further states that:

“In Euclidean geometry any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.”
In the below diagram, A, B, and C are the edges while a, b, and c are the vertices of triangle ABC. There are several types of triangles and some of those are:

•    Equilateral
•    Isosceles
•    Right-angled triangle
•    Scalene
•    Obtuse

## Formulas of Triangle Calculator

Here is a list of various methods to find the area of a triangle using different equations.
When base and height are known
If the base b and height h of the triangle are given, its area can be calculated by using the following formula:
Area of triangle = ½ × b × h
• When three sides are known (SSS)
You can use Heron’s formula if all three sides of a triangle are known.
Area = 0.25 × √ ((a + b + c) × (-a + b + c) × (a - b + c) × (a + b - c))
• When two sides and an angle are known (SAS)
When two sides of a triangle and the angle between them is known, Use the following equation to find the area,
Area = 0.5 × a × b × sin (γ)
• When two angles and a side are known (ASA)
If two angles and a line between them are known, the area of a triangle can be calculated using the above 45 45 90 triangle calculator or the below equation.
Area = a² × sin (β) × sin (γ) / (2 × sin (β + γ))
Note: The above equations contain several trigonometric values. You can use our scientific calculator to evaluate trigonometric values.

## How to Find the Area of a Triangle?

You can use this area of a triangle calculator for auto calculation with steps, or you can do it manually too. To find the area of a triangle, follow the below steps:

•    Identify and write down the given values.
•    Write down the triangle area formula.
•    Substitute the given values and calculate the area.

## Example:

Find the area of a triangle having a base of 5 cm and a height of 9 cm.
Solution:
Step 1:
Identify and write down the given values.
b = 5 cm, h = 9 cm

Step 2: Write down the triangle area formula.
Area of triangle = ½ × b × h

Step 3: Substitute the given values and calculate the area.
Area of triangle = ½ × 5 × 9
Area of triangle = 22.5 cm2

So, the area of this triangle is 22.5 cm2.

You can find the area, base, height, missing side of a triangle, and perimeter of a triangle without manual calculation by using our triangle area calculator. It is a complete triangle calculator, which gives you step-by-step solutions and graph to clearly understand the process of each step. if you are confused to find any missing side or perimeter of a triangle with or without a formula, this free calculator is a perfect choice for you.

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