Pythagorean Theorem Calculator

Step 1:

Enter the values of any two angles and any one side of a triangle below for which you want to find the length of the remaining two sides.

The Pythagorean theorem calculator finds the length of the remaining two sides of a given triangle using sine law or definitions of trigonometric functions.

If a given triangle is a right angle triangle, then the length of the remaining two sides of the triangle can be calculated using the definition of sine and cosine functions given by the formula-

$sin\theta =\frac{\text{Opposite Side}}{\text{Hypotenuse}}$

$cos\theta =\frac{\text{Adjacent Side}}{\text{Hypotenuse}}$

If a given triangle is not a right angle triangle, then the length of the remaining two sides of the triangle can be calculated using the sine law given by the formula-

$\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}$

Where A, B and C are angles of the triangle.

a,b and c are sides of the triangle opposite to angles A,B and C respectively.

Step 2:

Click the blue arrow to submit. Choose "Find the Length of the Third Side" from the topic selector and click to see the result in our Trigonometry Calculator!

Examples:

Find the Length of the Third Side

Popular Problems:

Find the Length of the Third Side $\begin{array}{|cc|}\hline \text{Side}& \text{Angle}\\ b=& A=90\\ c=& B=3\\ a=4& C=\\ \hline\end{array}$

Find the Length of the Third Side $\begin{array}{|cc|}\hline \text{Side}& \text{Angle}\\ b=& A=90\\ c=& B=1\\ a=2& C=\\ \hline\end{array}$

Find the Length of the Third Side $\begin{array}{|cc|}\hline \text{Side}& \text{Angle}\\ b=& A=90\\ c=& B=2\\ a=2& C=\\ \hline\end{array}$

Find the Length of the Third Side $\begin{array}{|cc|}\hline \text{Side}& \text{Angle}\\ b=& A=90\\ c=& B=\\ a=4& C=40\\ \hline\end{array}$

Find the Length of the Third Side $\begin{array}{|cc|}\hline \text{Side}& \text{Angle}\\ b=4& A=75\\ c=& B=20\\ a=& C=\\ \hline\end{array}$