# Triangle calculator

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

### Acute scalene triangle.

Sides: a = 76   b = 85   c = 111

Area: T = 3225.523321337
Perimeter: p = 272
Semiperimeter: s = 136

Angle ∠ A = α = 43.13662588713° = 43°8'11″ = 0.75328697443 rad
Angle ∠ B = β = 49.88107024385° = 49°52'51″ = 0.87105824908 rad
Angle ∠ C = γ = 86.98330386902° = 86°58'59″ = 1.51881404185 rad

Height: ha = 84.88221898256
Height: hb = 75.8954663844
Height: hc = 58.11875353761

Median: ma = 91.26333551871
Median: mb = 85.10114100941
Median: mc = 58.48329034847

Inradius: r = 23.71770824513
Circumradius: R = 55.57770298775

Vertex coordinates: A[111; 0] B[0; 0] C[48.9732972973; 58.11875353761]
Centroid: CG[53.32443243243; 19.3732511792]
Coordinates of the circumscribed circle: U[55.5; 2.92551068357]
Coordinates of the inscribed circle: I[51; 23.71770824513]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.8643741129° = 136°51'49″ = 0.75328697443 rad
∠ B' = β' = 130.1199297561° = 130°7'9″ = 0.87105824908 rad
∠ C' = γ' = 93.01769613098° = 93°1'1″ = 1.51881404185 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and c. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines ### 7. Inradius ### 8. Circumradius ### 9. 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.