Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 100   b = 100   c = 76.5376686473

Area: T = 3535.534390593
Perimeter: p = 276.5376686473
Semiperimeter: s = 138.2688343236

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 = 70.71106781187
Height: hb = 70.71106781187
Height: hc = 92.38879532511

Median: ma = 73.68112879104
Median: mb = 73.68112879104
Median: mc = 92.38879532511

Inradius: r = 25.57700894592
Circumradius: R = 54.12196100146

Vertex coordinates: A[76.5376686473; 0] B[0; 0] C[38.26883432365; 92.38879532511]
Centroid: CG[38.26883432365; 30.7965984417]
Coordinates of the circumscribed circle: U[38.26883432365; 38.26883432365]
Coordinates of the inscribed circle: I[38.26883432365; 25.57700894592]

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     