Triangle Area Calculator

Triangle Area Calculator

Triangle area calculator helps you calculate the area of a triangle. Not only area, area of triangle calculator gives you the liberty to solve the triangular equation for any value such as:

• Base b
• Area A
• Sides
• Gamma γ
• Parameter

It is a right angle triangle calculator sometimes referred as sss calculator.

In this post, we will discuss the how to use a triangle calculator, how to find area of triangle, how to find the sides of triangle using triangle side calculator, how to calculator length of triangle using triangle length calculator, formula for area of triangle, and much more.

How to use our triangle calculator?

You might be wondering where you can find the missing side of a triangle calculator.

Well, as mentioned earlier, this right triangle solver can calculate various values for a triangle including sides. It lets the user choose the option and then asks for the available values. The triangle angle calculator then calculates the selected value using the given values. To calculate area of a triangle, follow the below steps:

• Select the option for which you want to calculate the value. i.e., area, base, perimeter, etc.
• Choose the set of given values from the drop down menu.
• Enter the given values in the respective input boxes.
• You can change the unit of measurement from given options.
• Press the Calculate button after entering the values.

There you go. Our state of the art, solve the triangle calculator computes the area and other measurements of a triangle as soon as you hit the Calculate button. It shows the formula as well as all of the steps involved to calculate the area of triangle.

Now that, you can calculate the area, base, or height of a triangle, you may want to find the centroid of triangle. You can calculate the centroid of 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 this 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

Area of triangle formula

Here we will list various methods to calculate area of 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

In this equation:

b refers to the base length of triangle, and

h refers to the height of the triangle.

Using this formula, base and height of triangle can also be calculated if area of triangle is known. You can also use triangle height calculator above to do the calculations for you.

· When three sides are known (SSS)

You can use the Heron’s formula if all sides of triangle are known.

Area = 0.25 × √ ((a + b + c) × (-a + b + c) × (a - b + c) × (a + b - c))

Where, a, b, and c are the vertices of triangle. The above perimeter of a triangle calculator makes the process easy for you.

· When two sides and an angle are known (SAS)

When two sides of a triangle and the angle between them is known, area of triangle can be easily calculated using the below equation.

Area = 0.5 × a × b × sin (γ)

In this equation, γ refers to the Gamma.

This evaluation can be done using the 30 60 90 triangle calculator.

· When two angles and a side are known (ASA)

If two angles and a line between them are known, the area of 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))

Where,

γ refers to the Gamma, and

β refers to Beta.

Note: The above equations contain several trigonometric values. You can use our scientific calculator to evaluate the trigonometric values.

How to calculate the area of a triangle?

Looking for detailed guide on calculating the area of triangle?

Well, you have reached that very section where we are going to explain that how you can calculate the area of a triangle on a paper. But the thing is, manual calculation can be a bit tricky than using a calculator.

To calculate the triangle area, 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 1:

Calculate the area of a triangle having base 5 cm and 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 a triangle with base 5 cm and height 9 cm is 22.5 cm².

Example 2:

Calculate the area of a triangle having three sides of 7 cm, 5 cm, and 11 cm respectively.

Solution:

Because, we have all three sides of a triangle, we will use the SSS formula (Heron’s formula) given above.

Step 1: Identify and write down the given values.

a = 7 cm, b = 5 cm, c = 11 cm

Step 2: Write down the triangle area heron’s formula.

Area = 0.25 × √ ((a + b + c) × (-a + b + c) × (a - b + c) × (a + b - c))

Step 3: Substitute the given values and calculate the area.

Area = 0.25 × √ ((a + b + c) × (-a + b + c) × (a - b + c) × (a + b - c))

Area = 0.25 × √ ((7 + 5 + 11) × (-7 + 5 + 11) × (7 - 5 + 11) × (7 + 5 - 11))

Area = 0.25 × √ ((23) × (9) × (13) × (1))

Area = 0.25 × √ (2691)

Area = 12.97 cm²

So, the area of a triangle with three sides of 7 cm, 5 cm, and 11 cm is 12.97 cm².