This Online Calculator for Area of a Triangle can be used to calculate the area of a triangle with 3 Sides (SSS), 2 Sides and Included Angle (SAS), 2 Sides and Non-Included Angle (SSA), 2 Angles and Included Side (ASA), 2 Angles and Non-Included Side (AAS), Right Triangle (Side & Hypotenuse), and Right Triangle (Side & Angle). Just fill in the fields and the result will be displayed automatically.
About Calculator for Area of a Triangle
The area of a triangle calculator is an online tool that can help calculate the area of a triangle. It is commonly used to calculate the area of a triangle given pieces of information:
- The triangle’s side/base and height (SH)
- The triangle’s three sides (SSS)
- The triangle’s two sides included one angle (SAS)
- The triangle’s two sides and non-included one angle (SSA)
- The triangle’s two angles included one side (ASA)
- The triangle’s two angles and non-included one side (AAS)
- The right triangle’s one side and hypotenuse (Side & Hypotenuse)
- The right triangle’s one side and one angle (Side & Angle)
This Calculator for Area of a Triangle uses features of Javascript, HTML, and CSS on your browser’s rendering engine to calculate the area of a triangle without the need to download anything or fill out lengthy forms.
If you’re looking for a quick and easy way to calculate the area of a triangle, then you’ve come to the right place! Our online triangle area calculator is a simple and effective tool that can be used by anyone, regardless of their mathematical knowledge or experience.
The formula for calculating the area of a triangle with base and height
In this section, we will be discussing the formula for calculating the area of a triangle with base and height.
The formula for calculating the area of a triangle with base and height is:
This formula can be used to calculate the area of any triangle, provided that it has a base and height.
The base is always one side of a triangle that is parallel to the ground. The height is always one side of the triangle that extends vertically up from this base and meets at some point with an extension from another side of the triangle which forms an angle (the apex).
The formula for calculating the area of a triangle with 3 sides
If you’re looking for a quick and easy way to find the area of a triangle with 3 sides, Heron’s formula is the way to go. This formula, also known as the Hero’s formula, is named after the Greek mathematician Heron of Alexandria. It’s a simple formula that only requires the length of the triangle’s three sides.
To use Heron’s formula, start by squaring the length of each side of the triangle. Then, add up these three squared values and take the square root of the sum. This will give you the triangle’s semi-perimeter. Finally, plug the semi-perimeter into Heron’s formula, which is:
Where a, b, and c are the lengths of the triangle’s sides and s is the semi-perimeter.
That’s all there is to it! With Heron’s formula, you can easily find the area of a triangle.
The formula for calculating the area of a triangle with two sides and including the angle
The formula for calculating the area of a triangle with two sides and included angle is:
The formula for calculating area of triangle with two sides and a non-included angle
The formula for calculating the area of a triangle with two sides and non-included angle is:
The formula for calculating area of triangle with two angles and including the side
The formula for calculating the area of a triangle with two angles and included side is:
The formula for calculating the area of a triangle with two angles and a non-included side
The formula for calculating the area of a triangle with two angles and non-included side is:
The formula for calculating the area of a right triangle with side and hypotenuse
According to the Pythagorean theorem, the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the hypotenuse. This means that, given the lengths of the two shorter sides of a right triangle, you can always find the length of the hypotenuse.
The formula for finding the area of a right triangle with side and hypotenuse is:
To find the area of a right triangle, you need to know the lengths of the triangle’s two shorter sides (the base and the height). You can then plug those values into the triangle area formula and calculate the area.
For example, let’s say you have a right triangle with the following dimensions:
hypotenuse = 5
side = 3
To find the area of this triangle, you would plug those values into the formula like this:
height= √(5²-3²) = 4
Area of Triangle (A) = ½ x 3 x 4 = 6
The formula for calculating area of right triangle with side and angle
If you’re looking for the area of a right triangle, you can use the formula:
Area = 1/2 x base x height
This formula is derived from the fact that a right triangle is half of a rectangle. So, if you know the base and height of the triangle, you can easily calculate the area.
This formula is especially useful if you’re dealing with a right triangle that has one side that is an angle. To solve this case, you can use the formula:
This formula is derived from the fact that the area of a triangle is 1/2 * base * height. However, in this case, the height is the length of the side opposite the angle, which is why the tangent function is used.
Frequently Asked Questions on Area of Triangle
What is a Triangle?
A triangle is a polygon with three sides and three angles and the sum of the number of degrees in each angle is 180°. Triangles are classified according to their angles or the measure of the interior angles and their sides.
What is the Area of a Triangle?
Area of a Triangle is the amount of space that is enclosed by the three sides of a triangle. It can be calculated by multiplying the length of any side times its height and dividing it by two.
The formula for calculating the area of a triangle is as follows: A = ½ x b x h, where h is the height and b is the base.
What is an isosceles triangle?
An isosceles triangle is a triangle with two of its sides of equal length.
The word “isosceles” comes from the Greek words “iso” meaning “equal”, and “skelos” meaning “leg”.
What is a scalene triangle?
A scalene triangle is a triangle with all three sides no equal sides.
We can identify the following types of scalene triangles:
- Scalene Triangles with all three sides different in length.
- Scalene Triangles with two sides different in length and the third side being the shortest.
- Scalene Triangles with two sides different in length and the third side being the longest.
What is equilateral triangle?
In geometry, an equilateral triangle is a triangle in which the three angles are equal. The word “equilateral” comes from Latin “aequus”, meaning equal and “latus”, meaning side. An equilateral triangle is a special type of isosceles triangle that has all three sides of equal length.
What is an acute triangle?
An acute triangle is a triangle with all 3 angles less than 90 degrees.
What is a right triangle?
A right triangle is a triangle with one right angle or a 90-degree angle.
The two other angles of the triangle are called the acute angles. These are less than 90 degrees, and together they make up the 180-degree angle of the triangle.
For more calculator, please check Area of Circle Calculator and Percentage Calculator.
Conclusion
This calculator can be used to calculate the area of any triangle, no matter what the sizes of the sides are. So, if you need to know how to calculate the area of a right triangle or an isosceles triangle or any triangle, this is the tool for you.
There are a few things to keep in mind when using this area of a triangle calculator. First, make sure that you enter the lengths of the sides in the correct order. The order doesn’t matter for most triangles, but it does for some (like right triangles). Second, the calculator will only work if the triangle is a valid triangle. That means that the sum of the lengths of the two shorter sides must be greater.