# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Obtuse scalene triangle.

Sides: a = 36   b = 45   c = 14.45499614792

Area: T = 225.2532607044
Perimeter: p = 95.45499614792
Semiperimeter: s = 47.72549807396

Angle ∠ A = α = 43.8543778612° = 43°51'14″ = 0.76553928262 rad
Angle ∠ B = β = 120° = 2.09443951024 rad
Angle ∠ C = γ = 16.1466221388° = 16°8'46″ = 0.2821804725 rad

Height: ha = 12.51440337247
Height: hb = 10.01112269797
Height: hc = 31.17769145362

Median: ma = 28.15884923846
Median: mb = 15.68991903352
Median: mc = 40.10436114747

Vertex coordinates: A[14.45499614792; 0] B[0; 0] C[-18; 31.17769145362]
Centroid: CG[-1.18333461736; 10.39223048454]
Coordinates of the circumscribed circle: U[7.22549807396; 24.95659542657]
Coordinates of the inscribed circle: I[2.72549807396; 4.72198050906]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.1466221388° = 136°8'46″ = 0.76553928262 rad
∠ B' = β' = 60° = 2.09443951024 rad
∠ C' = γ' = 163.8543778612° = 163°51'14″ = 0.2821804725 rad

# How did we calculate this triangle?

### 1. Use 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. ### 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    