# How to Find The Area of a Triangle ( Step by Step )

How to Find The Area of a Triangle. There are other ways of find the Area of a Triangle , depending on some of the measurements given to you, although the most common way to find a Area of a Triangle is to hit the base and the height and divide it into two parts: the length of the three sides, the length of one side of an equilateral triangle, the length and the value of an angle are known.

Find The Area of a Triangle is used in other formulas to find the Area of a Triangle with known knowledge.

## Find The Area of a Triangle with Using Base And Height

### 1- Find the base and height of the triangle.

The base of a triangle usually refers to the length of the edge at the bottom of the triangle. Height is the length of the stem that is lowered from the upper corner of the triangle to the base.

A steep triangle, the base and the height are perpendicular to each other (90 degrees). With this, a strut is lowered from the upper corner to the base like a triangle which is not erect.

- If you determine the base length and height, you can start using the formula.

### 2- Write the formula to find the triangle field

In this type of question, the field formula is: 1/2 (base x height),

- Base = a
- If the height is defined as h:
- Area = 1/2 (ah)

### 3- Replace base and height values in form

It is enough to determine the base and height of the triangle you want to calculate the Area of a Triangle and place it in the equation.

- If the elevation belongs to that edge in the other edges, the Area of a Triangle can be calculated. So the edge is not important. There are two criteria: the height of the edge and the edge.
- For example, if the base of the triangle is 10cm, you get 6cm at the height of this edge. If we put it in the form:
- Area = 1/2 (10 cm x 6 cm)

### 4- Equation dissolves

After writing these values in parentheses, multiply by 1/2. If you want to do it, the height is multiplied by the base, then the result is multiplied by 1/2, and the result will not change again. As you know, the result will not change even if the numbers change in the multiplication process. If we look at the solution to the problem:

- Area = 1/2 (10 cm x 6 cm)
- Area = 1/2 (60cm²)
- Area = 30cm²

## Find Area of a Triangle Using the Length of All Edges

### 1- Calculate half of the circumference of the triangle.

To find the half periphery of the triangle,

to do is to sum all the edges you need to do and divide the result by two. To find this, look at the formula to use: (length of edge a + length of edge b + length of edge c) / 2 or semicircle S is expressed as S = (a + b + c) / 2.

The formula for finding is to find the half circumference of the triangle whose lengths are 3cm, 4cm and 5cm:

- s = (3 + 4 + 5) / 2
- s = 12/2
- s = 6

### 2- Replace the values in the formula to find the triangle field.

Use the following formula, called the Heron formula, to find the Area of a Triangle with three sides identified: Area = √ {s (s – a) (s – b) (s – c)}.

- Where a, b, and c are the edges of the triangle, and s is the semi-periphery.

When solving this process, start by solving for parentheses first. After solving all operations in the square root, the square root now solves itself. If we substitute the values we have given here in the form:

- Field = √ {6 (6 – 3) (6 – 4) (6 – 5)}

### 3- Perform subtraction operations within braces

Do this for (6-3), (6-4) and (6-5).

- 6-3 = 3
- 6-4 = 2
- 6-5 = 1
- Area = √ {6 (3) (2) (1)}

### 4- Multiply the values in brackets

Multiply by 3, 2, and 1. Always be careful not to skip transaction priorities. The order is not important here because there is nothing more than multiplication.

### 5- The final result you find with semi-environment

Now multiply 6, which you found in the previous step, with the semi-circle 6, 6 × 6 = 36

### 6- Find the Square root

√36 = 6. Remember the units: Area = √ {s (s – a) (s – b) (s – c)}, which will examine the units in this form,

- unit = √ {cm (cm) (cm) (cm),
- unit = √ {cm (cm) ³}
- per cm ^ = √ {4}
- unit = cm & lt; 2 & gt ;

The Area of a Triangle with edges of 3,4,5 cm is found to be 6 cm².