# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 2.8   b = 1.4   c = 3.13304951685

Area: T = 1.96
Perimeter: p = 7.33304951685
Semiperimeter: s = 3.66552475842

Angle ∠ A = α = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ B = β = 26.56550511771° = 26°33'54″ = 0.4643647609 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1.4
Height: hb = 2.8
Height: hc = 1.25221980674

Median: ma = 1.98798989873
Median: mb = 2.88661739379
Median: mc = 1.56552475842

Inradius: r = 0.53547524158
Circumradius: R = 1.56552475842

Vertex coordinates: A[3.13304951685; 0] B[0; 0] C[2.50443961348; 1.25221980674]
Centroid: CG[1.87882971011; 0.41773993558]
Coordinates of the circumscribed circle: U[1.56552475842; 0]
Coordinates of the inscribed circle: I[2.26552475842; 0.53547524158]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ B' = β' = 153.4354948823° = 153°26'6″ = 0.4643647609 rad
∠ C' = γ' = 90° = 1.57107963268 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    