Triangle Solver Calculator
a (rise) = 0
b (run) = 0
c (hypotenuse or rake) = 0
A ° = 0
B ° = 0
C ° = 0
Area & Perimeter
Area = 0
Perimeter = 0
Solves various triangles.
A definition of various triangle types:
- SSS: Enter side a (rise), side b (run), side c (rake) then select angles A, B, C.
With an SSS triangle if the two sides a, and b combined, or (a+b) is less than or equal to the hypotenuse (rake), then there is no solution.
- SAS: Enter side a (rise), side b (run) and angle C, then select hypotenuse side c (rake).
- AAS: Enter any two angles plus one side.
Always calculate the third angle before the two remaining sides. Then select [icon--app-unknown-inverse] top side first then the next one down.
If two sides are known, select the third side then the unknown angles. For example: Sides a (rise), b (run) and angle C are known. Select [icon--app-unknown-inverse] Side c (rake) then angles A and B.
- SSA: This type of triangle can have two solutions, one solution or no solution.
- Area and Perimeter: automatically calculated using selected units.
Precision can be changed. By selecting setting in the menu (...) in the top right corner.
Contributed by Gary Wiese.
Find the length of rafters with a roof pitch of 4:12.
-Enter a 4in Rise
-Enter a 12in Run
-Enter 90 degrees for C
Select Rake, angles A and B.
-Rake = 1ft 5/8
-A = 18.4°
-B = 71.6°
Change Run to 15 feet and select Rise and then Rake.
Rise is now 5ft and Rafter length is 15ft 9&3/4in or 15ft 9&47/64in.
Need to know the angle of a stairway with a rise of 6in and run of 9in.
Enter 90 for angle C then select Rake, angle A and angle B.
-Rake = 10&13/16in
-A = 33.7°
-B = 56.3°
Change the rise to 8" and select Rake, angles A and B.
-Rake = 1ft 1/16in
-A = 41.6°
This is an example of a oblique triangle.
Enter Rise 5ft 6&1/2in, Run 8ft 4&3/4in, and Rake 9ft 5&3/4in.
-Angle A = 35.5°
-Angle B = 61.5°
-Angle C = 83.0°
All the angle will total 180°.
c (hypotenuse or rake)