Find the missing side of a triangle calculator

Please provide 2 values below to calculate the other values of a right triangle.

Use our triangle calculator to solve the angles and sides of a triangle using trigonometry. Enter three known values including at least one side to calculate the remaining properties of a triangle. 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. Connor Smith is a professor of electrical and computer engineering with expertise in electromagnetics, microsystems, and magnetic materials and devices. Triangles are polygons with three sides and three interior angles between them.

Find the missing side of a triangle calculator

Omni's triangle side calculator allows you to calculate the length of the sides of a triangle. There are several methods to find the missing side of a triangle. Depending upon the type of given information, you can choose one of the following:. If we know, the measurements of the two sides and the opposite angle to one of them , we can use the Law of Sines to find the missing side. On the other hand, if we know two sides and the angle between them , we can use the Law of Cosines to find the remaining side. Hence if we know the measurement of the two angles, we can find the third angle using the equation:. Once we know the third angle, we can easily calculate the missing side using the Law of Sines mentioned above. This is the most simple scenario. As we know that the perimeter of a triangle is just the sum of its three sides , i. This means that if we know the measurement of two sides of a triangle say a a a and b b b , we can calculate the length of the third side as:. To calculate the triangle side lengths, we will proceed as follows:. Now let us see how we can use our calculator to find the missing side of a triangle. We will use the same example as in the previous section.

That will give us a value between 0 and 1.

The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if. It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:. The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Triangle angles. Review the basics of triangle angles, and then try some practice problems. Sum of interior angles in triangles.

Find the missing side of a triangle calculator

Please provide 2 values below to calculate the other values of a right triangle. Right triangles, and the relationships between their sides and angles, are the basis of trigonometry. The sides of a right triangle are commonly referred to with the variables a, b, and c, where c is the hypotenuse and a and b are the lengths of the shorter sides. The altitude divides the original triangle into two smaller, similar triangles that are also similar to the original triangle. If all three sides of a right triangle have lengths that are integers, it is known as a Pythagorean triangle. In a triangle of this type, the lengths of the three sides are collectively known as a Pythagorean triple. Examples include: 3, 4, 5; 5, 12, 13; 8, 15, 17, etc.

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Side b :. You can calculate the height , or altitude, or a triangle using a simple formula using the length of the base and the area. The longest edge of a right triangle, which is the edge opposite the right angle, is called the hypotenuse. The inradius is the perpendicular distance between the incenter and one of the sides of the triangle. In other words, it is the smallest circle that the triangle can fit inside of. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:. Select the proper option from a drop-down list. Hence, all the sides will be of the same length, i. To find the third side of a triangle, if its two sides and perimeter are given, follow the given instructions: Find the sum of the two sides, a and b. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:. Depending upon the type of given information, you can choose one of the following:. Two triangles are considered similar if their corresponding angles are congruent equal and their corresponding sides are proportional.

Finding the missing side or angle couldn't be easier than with our great tool — right triangle side and angle calculator. Choose two given values, type them into the calculator, and the calculator will determine the remaining unknowns in a blink of an eye!

How to find the missing side of a right triangle? How do you solve a right angle triangle with only one side? Example Let's show how to find the sides of a right triangle with this tool: Assume we want to find the missing side given area and one side. It is worth noting that all triangles have a circumcircle circle that passes through each vertex , and therefore a circumradius. Select the proper option from a drop-down list. Use our circle formula calculator, and don't worry anymore. Reset defaults. Assume we want to find the missing side given area and one side. Type in the given values. The perimeter is the sum of the three sides of the triangle and the area can be determined using the following equation:.