# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=156.8898874987 and with side c=56.09106565283

### #1 Acute scalene triangle.

Sides: a = 130   b = 90   c = 156.8898874987

Area: T = 5849.205451817
Perimeter: p = 376.8898874987
Semiperimeter: s = 188.4444437493

Angle ∠ A = α = 55.94548867294° = 55°56'42″ = 0.97664224731 rad
Angle ∠ B = β = 35° = 0.61108652382 rad
Angle ∠ C = γ = 89.05551132706° = 89°3'18″ = 1.55443049423 rad

Height: ha = 89.98877618181
Height: hb = 129.9822322626
Height: hc = 74.56549367256

Median: ma = 110.1465628816
Median: mb = 136.8655114428
Median: mc = 79.66547364041

Inradius: r = 31.03994119135
Circumradius: R = 78.45551058029

Vertex coordinates: A[156.8898874987; 0] B[0; 0] C[106.4989765758; 74.56549367256]
Centroid: CG[87.79328802481; 24.85549789085]
Coordinates of the circumscribed circle: U[78.44444374934; 1.29437746692]
Coordinates of the inscribed circle: I[98.44444374934; 31.03994119135]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.0555113271° = 124°3'18″ = 0.97664224731 rad
∠ B' = β' = 145° = 0.61108652382 rad
∠ C' = γ' = 90.94548867294° = 90°56'42″ = 1.55443049423 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 = 130   b = 90   c = 56.09106565283

Area: T = 2091.198812747
Perimeter: p = 276.0910656528
Semiperimeter: s = 138.0455328264

Angle ∠ A = α = 124.0555113271° = 124°3'18″ = 2.16551701805 rad
Angle ∠ B = β = 35° = 0.61108652382 rad
Angle ∠ C = γ = 20.94548867294° = 20°56'42″ = 0.36655572349 rad

Height: ha = 32.17222788841
Height: hb = 46.47110694993
Height: hc = 74.56549367256

Median: ma = 37.3910919685
Median: mb = 89.4321990221
Median: mc = 108.2298737231

Inradius: r = 15.1498633813
Circumradius: R = 78.45551058029

Vertex coordinates: A[56.09106565283; 0] B[0; 0] C[106.4989765758; 74.56549367256]
Centroid: CG[54.19334740953; 24.85549789085]
Coordinates of the circumscribed circle: U[28.04553282642; 73.27111620565]
Coordinates of the inscribed circle: I[48.04553282642; 15.1498633813]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 55.94548867294° = 55°56'42″ = 2.16551701805 rad
∠ B' = β' = 145° = 0.61108652382 rad
∠ C' = γ' = 159.0555113271° = 159°3'18″ = 0.36655572349 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:

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