Triangle calculator

You have entered side b, c and angle α.

Acute isosceles triangle.

Sides: a = 34.44215089129   b = 45   c = 45

Area: T = 715.9465615951
Perimeter: p = 124.4421508913
Semiperimeter: s = 62.22107544564

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

Height: ha = 41.5754578963
Height: hb = 31.82198051534
Height: hc = 31.82198051534

Median: ma = 41.5754578963
Median: mb = 33.15765795597
Median: mc = 33.15765795597

Vertex coordinates: A[45; 0] B[0; 0] C[13.18801948466; 31.82198051534]
Centroid: CG[19.39333982822; 10.60766017178]
Coordinates of the circumscribed circle: U[22.5; 9.32198051534]
Coordinates of the inscribed circle: I[17.22107544564; 11.50765402566]

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

How did we calculate this triangle?

1. Input data entered: side b, c and angle α. 2. Calculation of the third side a 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. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines    