# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=79.78436813757 and with side c=29.81881277045

### #1 Acute scalene triangle.

Sides: a = 98   b = 85   c = 79.78436813757

Area: T = 3241.043980732
Perimeter: p = 262.7843681376
Semiperimeter: s = 131.3921840688

Angle ∠ A = α = 72.90875112757° = 72°54'27″ = 1.27224761212 rad
Angle ∠ B = β = 56° = 0.97773843811 rad
Angle ∠ C = γ = 51.09224887243° = 51°5'33″ = 0.89217321513 rad

Height: ha = 66.14436695372
Height: hb = 76.26597601723
Height: hc = 81.24656821104

Median: ma = 66.28988973127
Median: mb = 78.60332308937
Median: mc = 82.60223065449

Inradius: r = 24.66769792459
Circumradius: R = 51.26442628114

Vertex coordinates: A[79.78436813757; 0] B[0; 0] C[54.80109045401; 81.24656821104]
Centroid: CG[44.86215286386; 27.08218940368]
Coordinates of the circumscribed circle: U[39.89218406879; 32.19772931802]
Coordinates of the inscribed circle: I[46.39218406879; 24.66769792459]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 107.0922488724° = 107°5'33″ = 1.27224761212 rad
∠ B' = β' = 124° = 0.97773843811 rad
∠ C' = γ' = 128.9087511276° = 128°54'27″ = 0.89217321513 rad

# How did we calculate this triangle?

### 1. Use Law of Cosines  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. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians ### #2 Obtuse scalene triangle.

Sides: a = 98   b = 85   c = 29.81881277045

Area: T = 1211.297706231
Perimeter: p = 212.8188127705
Semiperimeter: s = 106.4099063852

Angle ∠ A = α = 107.0922488724° = 107°5'33″ = 1.86991165324 rad
Angle ∠ B = β = 56° = 0.97773843811 rad
Angle ∠ C = γ = 16.90875112757° = 16°54'27″ = 0.29550917401 rad

Height: ha = 24.72203482103
Height: hb = 28.50111073484
Height: hc = 81.24656821104

Median: ma = 40.69547216467
Median: mb = 58.65441590162
Median: mc = 90.51108823018

Inradius: r = 11.38334011733
Circumradius: R = 51.26442628114

Vertex coordinates: A[29.81881277045; 0] B[0; 0] C[54.80109045401; 81.24656821104]
Centroid: CG[28.20663440816; 27.08218940368]
Coordinates of the circumscribed circle: U[14.90990638523; 49.04883889302]
Coordinates of the inscribed circle: I[21.40990638523; 11.38334011733]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 72.90875112757° = 72°54'27″ = 1.86991165324 rad
∠ B' = β' = 124° = 0.97773843811 rad
∠ C' = γ' = 163.0922488724° = 163°5'33″ = 0.29550917401 rad

# How did we calculate this triangle?

### 1. Use Law of Cosines  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. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines ### 7. Inradius ### 8. Circumradius ### 9. 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.