# Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and angle γ.

### Acute scalene triangle.

Sides: a = 11.4   b = 13.7   c = 16.11438194112

Area: T = 76.73222332821
Perimeter: p = 41.21438194112
Semiperimeter: s = 20.60769097056

Angle ∠ A = α = 44.04404788703° = 44°2'26″ = 0.76986513604 rad
Angle ∠ B = β = 56.66595211297° = 56°39'34″ = 0.98988951963 rad
Angle ∠ C = γ = 79.3° = 79°18' = 1.38440460968 rad

Height: ha = 13.46217953126
Height: hb = 11.20217858806
Height: hc = 9.52437797227

Median: ma = 13.82768791855
Median: mb = 12.16108012898
Median: mc = 9.69107794318

Inradius: r = 3.72436167081
Circumradius: R = 8.19994756571

Vertex coordinates: A[16.11438194112; 0] B[0; 0] C[6.26655901393; 9.52437797227]
Centroid: CG[7.46598031835; 3.17545932409]
Coordinates of the circumscribed circle: U[8.05769097056; 1.52223688932]
Coordinates of the inscribed circle: I[6.90769097056; 3.72436167081]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.965952113° = 135°57'34″ = 0.76986513604 rad
∠ B' = β' = 123.344047887° = 123°20'26″ = 0.98988951963 rad
∠ C' = γ' = 100.7° = 100°42' = 1.38440460968 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and angle γ. ### 2. Calculation of the third side c of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area using Heron's formula ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle using a Law of Cosines ### 8. Inradius ### 9. Circumradius ### 10. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.