Triangle Side Angle Calculator
Using this Triangle side angle calculator, you can calculate the sides or angles in a triangle. A triangle is a polygon with three sides. It has three vertices and, therefore, three angles. While being pretty basic, the shape forms the crux of some advanced mathematical concepts and applications.
From this text and the accompanying calculator, you'll learn:
- What are the different ways to calculate sides and angles for a triangle?
- How to calculate the sides and angles of a triangle?
Different ways to calculate sides and angles for a triangle
A triangle has 3 sides and three angles. Following are a few methods to calculate these values:
- Law of cosines — The cosine of an angle is related to all three sides.
- Law of sines — Relation between the length of the sides and the sine of the angles.
- Pythagorean theorem — A case of cosine law for when the third angle is equal to 90°.
In addition to this, you can also use angle sum property and trigonometric ratios to find individual sides based on the data available to you.
Using the Triangle side angle calculator
In this calculator, we'll use:
- Three sides to find angles;
- One angle and two sides to find other side and angles;
- Two angles to find the third.
Let's find the third side if one of the angles is 30°, and the sides are 4 and 6.
- Select the given data as
angle and two sides. - Enter the first angle, α=30°α=30°.
- Insert the first side, a=4a=4.
- Insert the second side, b=6b=6.
- The calculator will return the third side and two angles as
7.842,48.59°, and101.4°, respectively.
FAQs
- How do I find the third angle of a triangle?
- To find the third angle of a triangle: Add the two angles. Subtract the sum of two angles from 180° to obtain the third angle using the angle sum property of a triangle.
- What are the angles of triangle if three sides are 4, 5, and 6?
- The three angles for the triangles are 41.41°, 55.77°, and 82.82°. You can find these angles using the cosine law, such that angle, α = arccos [(b² + c² - a²)/(2bc)] = arccos[(6² + 5² - 4²)/(2 × 5 × 6)] = 41.41°. Similarly, the other two angles can be found.
Related calculators
Remainder
Use the remainder calculator to find the quotient and remainder of division.
Math
Slope
Calculate the slope of a line from two given points using the slope calculator. Discover the slope formula and learn how to find a slope with two points.
Math
Average
Calculate the average (mean) with our user-friendly tool. Discover how to find averages or perform quick calculations effortlessly.
Math
Circumference
Use this free circumference calculator to find the area, circumference and diameter of a circle.
Math