# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Acute isosceles triangle.

Sides: a = 6.3   b = 6.3   c = 7.75773345891

Area: T = 19.25655186879
Perimeter: p = 20.35773345891
Semiperimeter: s = 10.17986672946

Angle ∠ A = α = 52° = 0.9087571211 rad
Angle ∠ B = β = 52° = 0.9087571211 rad
Angle ∠ C = γ = 76° = 1.32664502315 rad

Height: ha = 6.11328630755
Height: hb = 6.11328630755
Height: hc = 4.96444677477

Median: ma = 6.32553948465
Median: mb = 6.32553948465
Median: mc = 4.96444677477

Inradius: r = 1.89217524398
Circumradius: R = 3.99774073775

Vertex coordinates: A[7.75773345891; 0] B[0; 0] C[3.87986672946; 4.96444677477]
Centroid: CG[3.87986672946; 1.65548225826]
Coordinates of the circumscribed circle: U[3.87986672946; 0.96770603702]
Coordinates of the inscribed circle: I[3.87986672946; 1.89217524398]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128° = 0.9087571211 rad
∠ B' = β' = 128° = 0.9087571211 rad
∠ C' = γ' = 104° = 1.32664502315 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    