# Triangle calculator ASA

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

### Acute scalene triangle.

Sides: a = 24.81097805026   b = 29.58553420209   c = 26.7

Area: T = 311.2366128283
Perimeter: p = 81.09551225235
Semiperimeter: s = 40.54875612618

Angle ∠ A = α = 52° = 0.9087571211 rad
Angle ∠ B = β = 70° = 1.22217304764 rad
Angle ∠ C = γ = 58° = 1.01222909662 rad

Height: ha = 25.0989792975
Height: hb = 21.04398871213
Height: hc = 23.31435676616

Median: ma = 25.30223700293
Median: mb = 21.10441343976
Median: mc = 23.81656741568

Inradius: r = 7.67658285479
Circumradius: R = 15.74220316849

Vertex coordinates: A[26.7; 0] B[0; 0] C[8.48554446834; 23.31435676616]
Centroid: CG[11.72884815611; 7.77111892205]
Coordinates of the circumscribed circle: U[13.35; 8.3422005848]
Coordinates of the inscribed circle: I[10.96222192408; 7.67658285479]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128° = 0.9087571211 rad
∠ B' = β' = 110° = 1.22217304764 rad
∠ C' = γ' = 122° = 1.01222909662 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.