Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 110   b = 110   c = 84.19903551203

Area: T = 4277.996602618
Perimeter: p = 304.199035512
Semiperimeter: s = 152.095517756

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 = 77.78217459305
Height: hb = 77.78217459305
Height: hc = 101.6276748576

Median: ma = 81.04994167014
Median: mb = 81.04994167014
Median: mc = 101.6276748576

Inradius: r = 28.12770984051
Circumradius: R = 59.53215710161

Vertex coordinates: A[84.19903551203; 0] B[0; 0] C[42.09551775602; 101.6276748576]
Centroid: CG[42.09551775602; 33.87655828587]
Coordinates of the circumscribed circle: U[42.09551775602; 42.09551775602]
Coordinates of the inscribed circle: I[42.09551775602; 28.12770984051]

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     