# Triangle calculator SAS

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

### Acute isosceles triangle.

Sides: a = 9.28   b = 9.28   c = 10.49991476682

Area: T = 40.17222328468
Perimeter: p = 29.05991476682
Semiperimeter: s = 14.53295738341

Angle ∠ A = α = 55.55° = 55°33' = 0.97695303995 rad
Angle ∠ B = β = 55.55° = 55°33' = 0.97695303995 rad
Angle ∠ C = γ = 68.9° = 68°54' = 1.20325318546 rad

Height: ha = 8.65878088032
Height: hb = 8.65878088032
Height: hc = 7.65224750611

Median: ma = 8.75547501894
Median: mb = 8.75547501894
Median: mc = 7.65224750611

Inradius: r = 2.7654859679
Circumradius: R = 5.62768331039

Vertex coordinates: A[10.49991476682; 0] B[0; 0] C[5.25495738341; 7.65224750611]
Centroid: CG[5.25495738341; 2.55108250204]
Coordinates of the circumscribed circle: U[5.25495738341; 2.02656419572]
Coordinates of the inscribed circle: I[5.25495738341; 2.7654859679]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.45° = 124°27' = 0.97695303995 rad
∠ B' = β' = 124.45° = 124°27' = 0.97695303995 rad
∠ C' = γ' = 111.1° = 111°6' = 1.20325318546 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 ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.