Find area of triangle with 3 sides calculator

Enter side a, side b and side c and click the button "Calculate the area of a triangle", Area of a triangle is displayed is calculated from the length of the three sides. Front page Area Calculator Area of triangle The length of the three sides.

The 3 sides triangle area calculator is here to the rescue if you need to calculate the area of a triangle but only know the three side lengths. A good example is trying to figure out the area of a triangular-shaped room — with this calculator, you'll learn how to find the square footage of a triangle room. To calculate the area of a triangle using the three side lengths is surprisingly tricky. If we know the height , then the area is found by simply multiplying the height by the base length and dividing by two. What we have built is a triangle area calculator — 3 sides and without height. It's believed Archimedes knew the formula years earlier, but it was never published at the time, as far as we know.

Find area of triangle with 3 sides calculator

This triangle area calculator can help in determining the triangle area. The basic triangle area formula needs to have a base and height given, but what if we don't have it? How can we calculate the area of a triangle with 3 sides only? The triangle area calculator is here for you. Give it a go! If you are still unsure how to find the area of a triangle, check the description below. A triangle is one of the most basic shapes in geometry. The best known and the most straightforward formula, which almost everybody remembers from school, is:. However, sometimes it's hard to find the height of the triangle. In that cases, many other equations may be used, depending on what you know about the triangle:. If you know the lengths of all sides, use the Heron's formula :. There are different triangle area formulas versions - you can use, for example, trigonometry or law of sines to derive it:. If you are looking for other formulas or calculators connected with triangles, check out this right triangle calculator , pythagorean theorem calculator , and law of cosines calculator.

FAQ How do I find the area of a triangle given sides? Take the square root of the result. Can any 3 sides make a triangle?

Let us learn how to find the area of triangle with 3 sides given; that is when the length of three sides of a triangle is given. The area of a two-dimensional, closed geometric figure is the amount of region enclosed by that figure. It is expressed in terms of square units. Generally, we find the area of a triangle by halving the product of base and height. The area of triangle with 3 sides was first derived by the Greek mathematician Heron of Alexandria. He gave a formula which could calculate the area of a triangle without any requirement of measure of angles or any other distances, rather than the length of the sides of the triangle.

Use this calculator to easily calculate the area of a triangle by the different possible pieces of information. The formula for the area of a triangle is side x height , as shown in the graph below:. There are different starting measurements from which one can solve a triangle, calculate the length of a side and height to it, and finally calculate a triangle's area. There are 4 common rules for solving a triangle, as explained below. The abbreviations denote our starting measurements. Our area of triangle calculator supports the basic formula, these four rules, and the hypotenuse and the length of one of the other sides rule for right-angled triangles only. So, how to calculate the area of a triangle using more advanced rules? You can solve the whole triangle starting from different sets of measurements:. Some of the above rules rely on the Law of Sines and the Law of Cosines, making it a requirement for you to understand them before you can apply these rules without the help of our area of a triangle calculator.

Find area of triangle with 3 sides calculator

Instructions: Use this triangle calculator with three sides known to determine a triangle completely. Please provide the three sides of the triangle:. A triangle calculator will help you find all the parameters of a triangle, knowing only some initial information about the triangle. Indeed, a triangle has 3 angles and 3 sides when it is completely determined, and using different trigonometric and geometric properties, it is enough to know three of those parameters in order to determine the other three. But it is not just any three pieces of information. You have to have either: two sides and an angle, or two angles and a side or you need to have three sides. This calculator shows how to work out the case when know you the three sides. For example, having the three angles of a triangle is not enough to determine the sides. Why, would you ask?

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Note that the variables used are in reference to the triangle shown in the calculator above. Input the other two known side lengths of the triangle. The area for our case is equal to Area of Triangle with 3 Sides. Here are some other triangle area calculators you can explore here on the Omni Calculator website: Triangle area ; Similar triangles ; Square feet of a triangle ; Scalene triangle area ; Area of obtuse triangle ; Area of oblique triangle ; Area of triangle with coordinates ; and Area of triangle SAS. The triangle area calculator is here for you. It can be equal to 9 inches in our example. Area S: 6. You can even try using the calculator to find a missing side length if you know the area and the other two side lengths:. Black hole collision Calculator The Black Hole Collision Calculator lets you see the effects of a black hole collision, as well as revealing some of the mysteries of black holes, come on in and enjoy! However, sometimes it's hard to find the height of the triangle. Read on to learn about: Calculating the area of a triangle with 3 sides. How do I find the area of a triangle given angles? Refer to the figure provided below for clarification.

Joe is the creator of Inch Calculator and has over 20 years of experience in engineering and construction. He holds several degrees and certifications. Full bio.

Area of a triangle whose side a is 3, side b is 4, and side c is 5. To compute the area of a right triangle, you only need to multiply the lengths of the legs of your triangle and then divide the result by 2. Area of Triangle with 3 Sides. A triangle is usually referred to by its vertices. Note that the triangle provided in the calculator is not shown to scale; while it looks equilateral and has angle markings that typically would be read as equal , it is not necessarily equilateral and is simply a representation of a triangle. Although we prepared a separate calculator for the equilateral triangle area , you can quickly calculate it in this triangle area calculator. If one side of the triangle is longer than the sum of the other two sides, then you cannot form a triangle. Similar notation exists for the internal angles of a triangle, denoted by differing numbers of concentric arcs located at the triangle's vertices. Use this inverse variation calculator to understand and compute the inverse proportionality between two variables. However, it does require that the lengths of the three sides are known.