Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 120   b = 120   c = 91.84440237676

Area: T = 5091.169882454
Perimeter: p = 331.8444023768
Semiperimeter: s = 165.9222011884

Angle ∠ A = α = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ B = β = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 84.85328137424
Height: hb = 84.85328137424
Height: hc = 110.8665543901

Median: ma = 88.41875454925
Median: mb = 88.41875454925
Median: mc = 110.8665543901

Inradius: r = 30.6844107351
Circumradius: R = 64.94435320175

Vertex coordinates: A[91.84440237676; 0] B[0; 0] C[45.92220118838; 110.8665543901]
Centroid: CG[45.92220118838; 36.95551813005]
Coordinates of the circumscribed circle: U[45.92220118838; 45.92220118838]
Coordinates of the inscribed circle: I[45.92220118838; 30.6844107351]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5° = 112°30' = 1.17880972451 rad
∠ B' = β' = 112.5° = 112°30' = 1.17880972451 rad
∠ C' = γ' = 135° = 0.78553981634 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     