# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 18.406625   b = 4.76438880489   c = 17.77990722401

Area: T = 42.34987548828
Perimeter: p = 40.94992102891
Semiperimeter: s = 20.47546051445

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 15° = 0.26217993878 rad
Angle ∠ C = γ = 75° = 1.3098996939 rad

Height: ha = 4.60215625
Height: hb = 17.77990722401
Height: hc = 4.76438880489

Median: ma = 9.2033125
Median: mb = 17.93879225959
Median: mc = 10.08655580794

Inradius: r = 2.06883551445
Circumradius: R = 9.2033125

Vertex coordinates: A[17.77990722401; 0] B[0; 0] C[17.77990722401; 4.76438880489]
Centroid: CG[11.85327148268; 1.5887962683]
Coordinates of the circumscribed circle: U[8.89895361201; 2.38219440245]
Coordinates of the inscribed circle: I[15.71107170956; 2.06883551445]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 165° = 0.26217993878 rad
∠ C' = γ' = 105° = 1.3098996939 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.