Find the missing side of a triangle calculator

Use our triangle calculator to solve the angles and sides of a triangle using trigonometry.

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.

Find the missing side of a triangle calculator

Please provide 3 values including at least one side to the following 6 fields, and click the "Calculate" button. A triangle is a polygon that has three vertices. A vertex is a point where two or more curves, lines, or edges meet; in the case of a triangle, the three vertices are joined by three line segments called edges. A triangle is usually referred to by its vertices. Furthermore, triangles tend to be described based on the length of their sides, as well as their internal angles. For example, a triangle in which all three sides have equal lengths is called an equilateral triangle while a triangle in which two sides have equal lengths is called isosceles. When none of the sides of a triangle have equal lengths, it is referred to as scalene, as depicted below. Tick marks on the edge of a triangle are a common notation that reflects the length of the side, where the same number of ticks means equal length. Similar notation exists for the internal angles of a triangle, denoted by differing numbers of concentric arcs located at the triangle's vertices. As can be seen from the triangles above, the length and internal angles of a triangle are directly related, so it makes sense that an equilateral triangle has three equal internal angles, and three equal length sides. 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. When actual values are entered, the calculator output will reflect what the shape of the input triangle should look like. Triangles classified based on their internal angles fall into two categories: right or oblique. The longest edge of a right triangle, which is the edge opposite the right angle, is called the hypotenuse.

By Joe Sexton. However, if only two sides of a triangle are given, finding the angles of a right triangle requires applying some basic trigonometric functions:. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.

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! If you are wondering how to find the missing side of a right triangle, keep scrolling, and you'll find the formulas behind our calculator. There are a few methods of obtaining right triangle side lengths. Depending on what is given, you can use different relationships or laws to find the missing side:. If you know two other sides of the right triangle, it's the easiest option; all you need to do is apply the Pythagorean theorem:. If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root:.

Right triangle calculator finds missing triangle measurements. It calculates side lengths, angles, perimeter, area, altitude-to-hypotenuse, inradius, and circumradius. The right triangle calculator is an online triangle solver focusing only on the right triangles. The calculator takes any two values of the right triangle as input and calculates the missing triangle measurements. The angle values can be input both in degrees and in radians. The calculator will show all the missing values and the calculation steps. The calculator will also demonstrate the scaled view of the relevant triangle, and the values of the inradius and the circumradius.

Find the missing side of a triangle calculator

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.

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Otherwise, the triangle will have no lines of symmetry. Enter three known values including at least one side to calculate the remaining properties of a triangle. As can be seen from the triangles above, the length and internal angles of a triangle are directly related, so it makes sense that an equilateral triangle has three equal internal angles, and three equal length sides. Other triangle calculators Make sure to check out our other calculators related to triangles: Centroid calculator ; Right triangle side and angle calculator ; Missing side of a triangle calculator ; Triangle length calculator ; Triangle degree calculator ; Similar right triangles calculator ; ABC triangle calculator ; Is it a right triangle calculator ; Angle of right triangle calculator ; and Check similarity in right triangles calculator. 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:. Amazing, right? Learn how we calculated this below scroll down. If you know one angle apart from the right angle, the calculation of the third one is a piece of cake:. The center of this circle, where all the perpendicular bisectors of each side of the triangle meet, is the circumcenter of the triangle, and is the point from which the circumradius is measured. Be sure that the calculator is set for angle mode rather than radian mode. Unlike the previous equations, Heron's formula does not require an arbitrary choice of a side as a base, or a vertex as an origin. Then we solve for c by adding the squared values of a and b and taking the square root of both sides. Engineering Notation Calculator. Now, we will use the Law of Sines to find the missing sides. Triangle Calculators Math Calculators.

Please provide 3 values including at least one side to the following 6 fields, and click the "Calculate" button.

If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation. 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. Bike Everyone knows biking is fantastic, but only this Car vs. Not all right-angled triangles are similar , although some can be. To use the right angle calculator simply enter the lengths of any two sides of a right triangle into the top boxes. The medians of the triangle are represented by the line segments m a , m b , and m c. That will give us a value between 0 and 1. The circumradius is defined as the radius of a circle that passes through all the vertices of a polygon, in this case, a triangle. The Law of Sines states:. Likely the most commonly known equation for calculating the area of a triangle involves its base, b , and height, h.