Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 125   b = 125   c = 95.67108580913

Area: T = 5524.272172802
Perimeter: p = 345.6710858091
Semiperimeter: s = 172.8355429046

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 = 88.38883476483
Height: hb = 88.38883476483
Height: hc = 115.4854941564

Median: ma = 92.1021609888
Median: mb = 92.1021609888
Median: mc = 115.4854941564

Inradius: r = 31.9632611824
Circumradius: R = 67.65495125183

Vertex coordinates: A[95.67108580913; 0] B[0; 0] C[47.83554290456; 115.4854941564]
Centroid: CG[47.83554290456; 38.49549805213]
Coordinates of the circumscribed circle: U[47.83554290456; 47.83554290456]
Coordinates of the inscribed circle: I[47.83554290456; 31.9632611824]

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     