Triangle calculator SAS
Acute isosceles triangle.
Sides: a = 40 b = 40 c = 30.61546745892Area: T = 565.6855424949
Perimeter: p = 110.6154674589
Semiperimeter: s = 55.30773372946
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 = 28.28442712475
Height: hb = 28.28442712475
Height: hc = 36.95551813005
Median: ma = 29.47325151642
Median: mb = 29.47325151642
Median: mc = 36.95551813005
Inradius: r = 10.22880357837
Circumradius: R = 21.64878440058
Vertex coordinates: A[30.61546745892; 0] B[0; 0] C[15.30773372946; 36.95551813005]
Centroid: CG[15.30773372946; 12.31883937668]
Coordinates of the circumscribed circle: U[15.30773372946; 15.30773372946]
Coordinates of the inscribed circle: I[15.30773372946; 10.22880357837]
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
Calculate another triangle
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

7. Inradius

8. Circumradius
