Solving for a Right Triangle

Using Trig Functions

right triangle

The term "solving for a right triangle" means that you are tasked with determinging the lengths of all three sides of the triangle and all three interior angle measures (usually in degrees).

The method to obtain these measurements are NOT intended to be physically measured with a ruler or protractor. The purpose is to use mathematical relationships between the measurements of the side lengths and the angles' degrees in order to calculate the answer.

Since every triangle has three sides and three angles, you will always have six answers when you 'solve a right triangle'.

Directions: Using the diagram above, enter in any values that you have been given about your triangle.

Variables 'a' and 'b' are the lengths of the two sides of the triangle that aren't the hypotenuse.

The hypotenuse is assigned variable 'c' to represent its legth (always). Enter the hypotenuse's length in to the box for variable c.

Looking at your triangle, it is important to enter the angle degrees into the correct boxes.

Angle α is 'across' from its corresponding side 'a'.

Angle β is 'across' from its corresponding side 'b'.


Example 1:
ex1 Enter your values into the boxes.
Then click the submit button under the empty boxes to get the solution. ex1


You must have 2 sides and one angle for this calculator to work. If you only have one side and one angle use Trig to solve the triangle.
SOH-CAH-TOA


Var a

Var b

Var c

Var α

Var β

The solutions are:

var a

Var b

Var c

Var α

Var β