# Triangle calculator SAS

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

### Right isosceles triangle.

Sides: a = 6.5   b = 6.5   c = 9.19223881554

Area: T = 21.125
Perimeter: p = 22.19223881554
Semiperimeter: s = 11.09661940777

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 6.5
Height: hb = 6.5
Height: hc = 4.59661940777

Median: ma = 7.26772209269
Median: mb = 7.26772209269
Median: mc = 4.59661940777

Inradius: r = 1.90438059223
Circumradius: R = 4.59661940777

Vertex coordinates: A[9.19223881554; 0] B[0; 0] C[4.59661940777; 4.59661940777]
Centroid: CG[4.59661940777; 1.53220646926]
Coordinates of the circumscribed circle: U[4.59661940777; -0]
Coordinates of the inscribed circle: I[4.59661940777; 1.90438059223]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 90° = 1.57107963268 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    