# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right isosceles triangle.

Sides: a = 300   b = 212.1322034356   c = 212.1322034356

Area: T = 22500
Perimeter: p = 724.2644068712
Semiperimeter: s = 362.1322034356

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

Height: ha = 150
Height: hb = 212.1322034356
Height: hc = 212.1322034356

Median: ma = 150
Median: mb = 237.1710824513
Median: mc = 237.1710824513

Inradius: r = 62.1322034356
Circumradius: R = 150

Vertex coordinates: A[212.1322034356; 0] B[0; 0] C[212.1322034356; 212.1322034356]
Centroid: CG[141.4211356237; 70.71106781187]
Coordinates of the circumscribed circle: U[106.0666017178; 106.0666017178]
Coordinates of the inscribed circle: I[150; 62.1322034356]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 135° = 0.78553981634 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 ### 9. Inradius ### 10. Circumradius ### 11. 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.