30 60 90 Triangle Calculator: Solve for Unknown Measurements

This 30 60 90 Triangle Calculator will find the side lengths, height, area, and perimeter from a single known measurement from a special right triangle having interior angles of 30, 60, and 90 degrees.

Plus, the calculator will also solve for inradius and circumradius while also showing step-by-step how it solved for all measurements from the one provided.

30 60 90 Triangle Calculator

Solve a 30 60 90 triangle with one known measurement, and see how the other measurements are found.

Special Instructions

Selected Data Record:

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".

DataData recordData recordSelected data record: None
Dec places:Decimal places:Number of decimal places:Number of decimal places to round result to:

Number of decimal places:

Select how many decimal places you would like the result rounded to. Note that you can change the number of places before or after calculating the missing length. Also note that the Pythagorean Theorem Calculator will always display the raw results (out to 14 places) in the steps that will appear beneath the calculator.

Enter a known measurement in one of the fields below while leaving the other 5 fields blank.
Short leg a:

Length of shortest side (a):

Enter the length of the shortest side of the 30 60 90 triangle, which is the side opposite of the 30 degree angle.

 # Length of shortest leg
Long leg b:

Length of medium side (b):

Enter the length of the medium side of the 30 60 90 triangle, which is the side opposite of the 60 degree angle.

 # Length of medium leg
Hypotenuse c:

Length of longest side (c, or Hypotenuse):

Enter the length of the longest side of the 30 60 90 triangle, which is the side opposite of the 90 degree angle, also known as the Hypotenuse.

 # Length of longest leg
Height:

Height:

Enter the height of the 30 60 90 triangle.

 # Height
Area:

Area:

Enter the area of the 30 60 90 triangle.

 # Area
Perimeter:

Perimeter:

Enter the perimeter of the 30 60 90 triangle.

 # Perimeter
Short leg a:

Length of short side (a):

This is the length of the short side (a).

Long leg b:

Length of medium side (b):

This is the length of the medium side (b).

Hypotenuse c:

Length of longest side (c):

This is the length of the longest side (c), otherwise known as the Hypotenuse.

Height:

Height of triangle:

This is the height of the 30 60 90 triangle.

Area:

Area of triangle:

This is the area of the 30 60 90 triangle.

Perimeter:

Perimeter of triangle:

This is the perimeter of the 30 60 90 triangle.

This is the inradius of the 30 60 90 triangle.

This is the circumradius of the 30 60 90 triangle.

If you would like to save the current entries to the secure online database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

Help and Tools

Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.

Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size ... since they will not need to be "thumb friendly".