# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Acute isosceles triangle.

Sides: a = 360   b = 360   c = 222.492223595

Area: T = 38088.48443486
Perimeter: p = 942.492223595
Semiperimeter: s = 471.2466117975

Angle ∠ A = α = 72° = 1.25766370614 rad
Angle ∠ B = β = 72° = 1.25766370614 rad
Angle ∠ C = γ = 36° = 0.62883185307 rad

Height: ha = 211.6032690825
Height: hb = 211.6032690825
Height: hc = 342.3880345866

Median: ma = 239.0643584699
Median: mb = 239.0643584699
Median: mc = 342.3880345866

Inradius: r = 80.82550357843
Circumradius: R = 189.2633200363

Vertex coordinates: A[222.492223595; 0] B[0; 0] C[111.2466117975; 342.3880345866]
Centroid: CG[111.2466117975; 114.1276781955]
Coordinates of the circumscribed circle: U[111.2466117975; 153.1177145503]
Coordinates of the inscribed circle: I[111.2466117975; 80.82550357843]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108° = 1.25766370614 rad
∠ B' = β' = 108° = 1.25766370614 rad
∠ C' = γ' = 144° = 0.62883185307 rad

# How did we calculate this triangle?

### 1. Calculate the third unknown inner angle ### 2. By using the law of sines, we calculate unknown side b ### 3. By using the law of sines, we calculate last unknown side c 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines    