# Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

### Acute isosceles triangle.

Sides: a = 287.9398524157   b = 287.9398524157   c = 100

Area: T = 14178.2054549
Perimeter: p = 675.8777048314
Semiperimeter: s = 337.9398524157

Angle ∠ A = α = 80° = 1.39662634016 rad
Angle ∠ B = β = 80° = 1.39662634016 rad
Angle ∠ C = γ = 20° = 0.34990658504 rad

Height: ha = 98.48107753012
Height: hb = 98.48107753012
Height: hc = 283.5644090981

Median: ma = 160.3976846676
Median: mb = 160.3976846676
Median: mc = 283.5644090981

Inradius: r = 41.95549815589
Circumradius: R = 146.1990220008

Vertex coordinates: A[100; 0] B[0; 0] C[50; 283.5644090981]
Centroid: CG[50; 94.52113636603]
Coordinates of the circumscribed circle: U[50; 137.3743870973]
Coordinates of the inscribed circle: I[50; 41.95549815589]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 100° = 1.39662634016 rad
∠ B' = β' = 100° = 1.39662634016 rad
∠ C' = γ' = 160° = 0.34990658504 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 a ### 3. By using the law of sines, we calculate last unknown side b 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.