# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute isosceles triangle.

Sides: a = 109.91   b = 102   c = 102

Area: T = 4722.278773796
Perimeter: p = 313.91
Semiperimeter: s = 156.955

Angle ∠ A = α = 65.20105066528° = 65°12'2″ = 1.13879635151 rad
Angle ∠ B = β = 57.43997466736° = 57°23'59″ = 1.00218145693 rad
Angle ∠ C = γ = 57.43997466736° = 57°23'59″ = 1.00218145693 rad

Height: ha = 85.93299015186
Height: hb = 92.59436811364
Height: hc = 92.59436811364

Median: ma = 85.93299015186
Median: mb = 92.95875389627
Median: mc = 92.95875389627

Inradius: r = 30.08768257651
Circumradius: R = 60.53877163021

Vertex coordinates: A[102; 0] B[0; 0] C[59.21767063725; 92.59436811364]
Centroid: CG[53.73989021242; 30.86545603788]
Coordinates of the circumscribed circle: U[51; 32.61661784253]
Coordinates of the inscribed circle: I[54.955; 30.08768257651]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 114.7999493347° = 114°47'58″ = 1.13879635151 rad
∠ B' = β' = 122.6600253326° = 122°36'1″ = 1.00218145693 rad
∠ C' = γ' = 122.6600253326° = 122°36'1″ = 1.00218145693 rad

# How did we calculate this triangle?

### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    