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Triangle Solver Calculator

Sides
[https://poweronecalc.s3.amazonaws.com/templates/triangle_solver.png]
a (rise) = 0
b (run) = 0
c (hypotenuse or rake) = 0
Angles
A ° = 0
B ° = 0
C ° = 0
Area & Perimeter
Area = 0
Perimeter = 0

Help

Solves various triangles.

Triangle Types

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.
[https://poweronecalc.s3.amazonaws.com/templates/triangle_solver.png]
Contributed by Gary Wiese.

Examples

Example 1

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°

Example 2

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.

Example 3

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°

Example 4

Change the rise to 8" and select Rake, angles A and B.
-Rake = 1ft 1/16in
-A = 41.6°
-B= 48.4°

Example 5

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°.

Keywords

a (rise)
b (run)
c (hypotenuse or rake)
A °
B °
C °
Area
Perimeter
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