Triangle calculator SAS

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

Right scalene triangle.

Sides: a = 1.687   b = 1.253   c = 2.10114228513

Area: T = 1.05769055
Perimeter: p = 5.04114228513
Semiperimeter: s = 2.52107114257

Angle ∠ A = α = 53.39773025867° = 53°23'50″ = 0.93219587418 rad
Angle ∠ B = β = 36.60326974133° = 36°36'10″ = 0.6398837585 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1.253
Height: hb = 1.687
Height: hc = 1.00658951242

Median: ma = 1.51104639188
Median: mb = 1.87995752971
Median: mc = 1.05107114257

Inradius: r = 0.41992885743
Circumradius: R = 1.05107114257

Vertex coordinates: A[2.10114228513; 0] B[0; 0] C[1.35443057259; 1.00658951242]
Centroid: CG[1.15219095257; 0.33552983747]
Coordinates of the circumscribed circle: U[1.05107114257; -0]
Coordinates of the inscribed circle: I[1.26877114257; 0.41992885743]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.6032697413° = 126°36'10″ = 0.93219587418 rad
∠ B' = β' = 143.3977302587° = 143°23'50″ = 0.6398837585 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     