# Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

### Obtuse isosceles triangle.

Sides: a = 27.8   b = 27.8   c = 53.70554759417

Area: T = 193.21
Perimeter: p = 109.3055475942
Semiperimeter: s = 54.65327379708

Angle ∠ A = α = 15° = 0.26217993878 rad
Angle ∠ B = β = 15° = 0.26217993878 rad
Angle ∠ C = γ = 150° = 2.6187993878 rad

Height: ha = 13.9
Height: hb = 13.9
Height: hc = 7.19551694539

Median: ma = 40.43994494654
Median: mb = 40.43994494654
Median: mc = 7.19551694539

Inradius: r = 3.53552300209
Circumradius: R = 53.70554759417

Vertex coordinates: A[53.70554759417; 0] B[0; 0] C[26.85327379708; 7.19551694539]
Centroid: CG[26.85327379708; 2.3988389818]
Coordinates of the circumscribed circle: U[26.85327379708; -46.51103064878]
Coordinates of the inscribed circle: I[26.85327379708; 3.53552300209]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165° = 0.26217993878 rad
∠ B' = β' = 165° = 0.26217993878 rad
∠ C' = γ' = 30° = 2.6187993878 rad

# How did we calculate this triangle?

### 1. Calculation of the third side c of the triangle using a 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 ### 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.