Mathematical Calculators

# Triangle Area Calculator

Find out area of triangle easily with our free triangle area calculator! You can calculate with base and height, three different sides and many more. Works with angles and radians!

#### Area of a triangle by height and base

#### Area of a triangle by 3 known sides

#### Area of a triangle by 2 known sides and angle between them

#### Area of a triangle by 2 known angles and side between them

#### Table of contents

## About triangle area calculator

Triangles are among the most significant objects studied in mathematics, and their importance is widely attributed to their rich mathematical theory.

This page will give you all the necessary information you need to know about triangles and teach you how to calculate the area of triangles.

## How to use the triangle area calculator?

Calculate the area of a triangle with this calculator. Add triangle side lengths and inner angles, and our calculator calculates the area of your triangle.

## What is the triangle?

A Triangle is a polygon that has three sides and three angles. Triangles are the simplest type of figures that mathematicians refer to as polygons. Their importance is due to their numerous applications in various scientific fields, such as astronomy, architecture, and engineering.

## How to calculate the area of a triangle?

The area of a triangle is the total space occupied by its three sides. The basic formula for calculating its area is equal to the base and height of the triangle.

Area of triangle by height and base

Triangle area = (height * base) / 2

Area of triangle is also possible to calculate different ways with angles and lengths of the triangle.

Area of triangle by three sides

Triangle area = 1/4 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )

Area of triangle by two sides and the angle between them

Triangle area = 1/2 * a * b * sin(γ)

Area of triangle by two angles and a side between them

Triangle area = a^2 * sin(β) * sin(γ) / (2 * sin(β + γ))

## What is the difference between radians and degrees?

Both degrees and radians are units of measurement that are often used in various fields of study.

A degree is defined as the 1/360th of a circle's total angle. Degrees are divided into arc seconds and arc minutes.

A radian is an angle at the center of a circle that's equal to the radius of the circle when the arc has the length of the radius.

## What is the Pythagorean theorem?

The Pythagoras Theorem is a formula that defines the relationships between the sides of a right triangle.

Pythagorean theorem formula

a^2 + b^2 = c^2

The Pythagorean theorem is attributed to Pythagoras, a Greek mathematician. He is known for his contributions to mathematics.

## Where Pythagorean theorem is used in real life?

The Pythagorean theorem has a high amount of implications in everyday life.

The Pythagorean Theorem can be used as a navigation technique. For instance, if you are planning on sailing to a certain point in the middle of the ocean, the theorem will tell you the distance between the north and the west of your ship.

The Pythagorean Theorem is also used by geologists to determine the heights and distances of mountains and hills. They can use it to determine the steepness of the terrain by measuring the distance between a stick and a fixed distance.

## What are the different types of triangles?

There are many types of triangles, each of which has its own unique properties. Triangles are often categorized as follows: Equilateral Triangles, Isosceles Triangles, and Scalene Triangle. Understanding these properties helps you formulate your own ideas in real-world applications.

Equilateral Triangle

An Equilateral triangle is a triangle with three sides that have the same length.

Isosceles Triangle

A triangle is considered an Isosceles triangle when two sides of the triangle have the same length.

Scalene Triangle

The scalene triangle is a triangle that has zero equal sides.

## What is the longest side of the triangle?

The longest part of a right-angled triangle, which is always opposite the angle, is called the hypotenuse.

## What is a right angle triangle?

A right-angled triangle is a triangle that has one of the angles as 90 degrees.

## Trigonometry and triangles

Trigonometry is the study of how the properties of triangles. Its two most important functions are the sine and cosine functions.

The sine and cosine functions are very important in the calculation of side and angle measures of triangles. They can be extended to any triangle by the Law of Cosines and the Law of Sines.

Article author

Angelica Miller

Angelica is a psychology student and a content writer. She loves nature and wathing documentaries and educational YouTube videos.

###### Triangle Area Calculator English

Published: Mon Aug 23 2021

Latest update: Tue Oct 19 2021

In category Mathematical calculators

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