# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right isosceles triangle.

Sides: a = 342.5   b = 484.3688145113   c = 342.5

Area: T = 58653.125
Perimeter: p = 1169.368814511
Semiperimeter: s = 584.6844072556

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

Height: ha = 342.5
Height: hb = 242.1844072556
Height: hc = 342.5

Median: ma = 382.9276641147
Median: mb = 242.1844072556
Median: mc = 382.9276641147

Vertex coordinates: A[342.5; 0] B[0; 0] C[-0; 342.5]
Centroid: CG[114.1676666667; 114.1676666667]
Coordinates of the circumscribed circle: U[171.25; 171.25]
Coordinates of the inscribed circle: I[100.3165927444; 100.3165927444]

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