# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Obtuse isosceles triangle.

Sides: a = 90   b = 90   c = 163.1355401667

Area: T = 3102.487999463
Perimeter: p = 343.1355401667
Semiperimeter: s = 171.5687700833

Angle ∠ A = α = 25° = 0.4366332313 rad
Angle ∠ B = β = 25° = 0.4366332313 rad
Angle ∠ C = γ = 130° = 2.26989280276 rad

Height: ha = 68.94439998807
Height: hb = 68.94439998807
Height: hc = 38.03656435567

Median: ma = 123.8210756089
Median: mb = 123.8210756089
Median: mc = 38.03656435567

Inradius: r = 18.08331239188
Circumradius: R = 106.4799071242

Vertex coordinates: A[163.1355401667; 0] B[0; 0] C[81.56877008333; 38.03656435567]
Centroid: CG[81.56877008333; 12.67985478522]
Coordinates of the circumscribed circle: U[81.56877008333; -68.44334276852]
Coordinates of the inscribed circle: I[81.56877008333; 18.08331239188]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155° = 0.4366332313 rad
∠ B' = β' = 155° = 0.4366332313 rad
∠ C' = γ' = 50° = 2.26989280276 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    