Right Triangle Angle And Side Calculator

To find an angle or side of a right triangle, you can use trigonometric functions. For example, to find an angle θ given two sides (SAS), use the Law of Cosines. To find a missing side, use trigonometric ratios like sine and cosine. For a right triangle with sides A, B, and hypotenuse C, use the Pythagorean Theorem: A^2 + B^2 = C^2.

FAQs

Right triangle angle and side calculator 3 sides If you have all three sides of a right triangle (side A, side B, and the hypotenuse), you can find one of the acute angles (θ) using trigonometric functions. To find θ:

1. Use the formula: θ = sin^(-1)(opposite / hypotenuse) or θ = cos^(-1)(adjacent / hypotenuse).

How to find the angle of a triangle given 2 sides To find an angle of a triangle when you know two sides (SAS, Side-Angle-Side):

1. Use the Law of Cosines: θ = cos^(-1)((a^2 + b^2 – c^2) / (2ab)), where θ is the angle opposite side c, and a and b are the known sides.

How to find the side of a triangle given two sides To find the length of a side of a triangle when you know two sides and the included angle (SAS, Side-Angle-Side):

1. Use the Law of Cosines: c = sqrt(a^2 + b^2 – 2ab * cos(θ)), where c is the side you want to find, and a, b, and θ are known.

Right angle triangle formula For a right triangle with sides A, B (the legs), and C (the hypotenuse), you can use:

1. Pythagorean Theorem: A^2 + B^2 = C^2

Triangle angle calculator A triangle angle calculator can determine the angles of a triangle given the lengths of its sides. You can use trigonometric functions like sine, cosine, or tangent to find the angles.

Find missing side of triangle calculator A missing side of a triangle calculator can help you find the length of a missing side when you know the lengths of the other two sides and, optionally, an angle.

How to find the length of a right triangle given one side and angle To find the length of a side of a right triangle when you know one side and an acute angle:

1. Use trigonometric functions. For example, if you know the length of the hypotenuse (C) and an acute angle θ:
   • Side A = C * sin(θ)
   • Side B = C * cos(θ)

Find angle of right triangle To find an angle of a right triangle when you know the lengths of two sides:

1. Use trigonometric functions:
   • To find θ opposite side A: θ = sin^(-1)(A / C)
   • To find θ opposite side B: θ = cos^(-1)(B / C)

These methods will help you calculate angles and sides of triangles using the information you have.