# Triangle calculator

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

### Acute isosceles triangle.

Sides: a = 55   b = 55   c = 62

Area: T = 1408.369926976
Perimeter: p = 172
Semiperimeter: s = 86

Angle ∠ A = α = 55.69223485442° = 55°41'32″ = 0.97220148503 rad
Angle ∠ B = β = 55.69223485442° = 55°41'32″ = 0.97220148503 rad
Angle ∠ C = γ = 68.61553029116° = 68°36'55″ = 1.19875629531 rad

Height: ha = 51.21334279912
Height: hb = 51.21334279912
Height: hc = 45.43112667664

Median: ma = 51.75218115625
Median: mb = 51.75218115625
Median: mc = 45.43112667664

Inradius: r = 16.37663868577
Circumradius: R = 33.29220498954

Vertex coordinates: A[62; 0] B[0; 0] C[31; 45.43112667664]
Centroid: CG[31; 15.14437555888]
Coordinates of the circumscribed circle: U[31; 12.1399216871]
Coordinates of the inscribed circle: I[31; 16.37663868577]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.3087651456° = 124°18'28″ = 0.97220148503 rad
∠ B' = β' = 124.3087651456° = 124°18'28″ = 0.97220148503 rad
∠ C' = γ' = 111.3854697088° = 111°23'5″ = 1.19875629531 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.