# Triangle calculator ASA

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

### Right isosceles triangle.

Sides: a = 15.73331258814   b = 15.73331258814   c = 22.25

Area: T = 123.7665625
Perimeter: p = 53.71662517628
Semiperimeter: s = 26.85881258814

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

Height: ha = 15.73331258814
Height: hb = 15.73331258814
Height: hc = 11.125

Median: ma = 17.59901694847
Median: mb = 17.59901694847
Median: mc = 11.125

Inradius: r = 4.60881258814
Circumradius: R = 11.125

Vertex coordinates: A[22.25; 0] B[0; 0] C[11.125; 11.125]
Centroid: CG[11.125; 3.70883333333]
Coordinates of the circumscribed circle: U[11.125; -0]
Coordinates of the inscribed circle: I[11.125; 4.60881258814]

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