# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=90.45987638629 and with side c=87.84439762016

### #1 Obtuse scalene triangle.

Sides: a = 89.6   b = 9.05   c = 90.45987638629

Area: T = 405.0322136466
Perimeter: p = 189.1098763863
Semiperimeter: s = 94.55443819315

Angle ∠ A = α = 81.69437924986° = 81°41'38″ = 1.42658256575 rad
Angle ∠ B = β = 5.736° = 5°44'10″ = 0.11001120859 rad
Angle ∠ C = γ = 92.57702075014° = 92°34'13″ = 1.61656549102 rad

Height: ha = 9.04108959033
Height: hb = 89.51098644124
Height: hc = 8.95550667988

Median: ma = 46.10110328496
Median: mb = 89.91766189022
Median: mc = 44.82655982682

Inradius: r = 4.28435892763
Circumradius: R = 45.27549274916

Vertex coordinates: A[90.45987638629; 0] B[0; 0] C[89.15113700323; 8.95550667988]
Centroid: CG[59.87700446317; 2.98550222663]
Coordinates of the circumscribed circle: U[45.22993819315; -2.03302880269]
Coordinates of the inscribed circle: I[85.50443819315; 4.28435892763]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 98.30662075014° = 98°18'22″ = 1.42658256575 rad
∠ B' = β' = 174.264° = 174°15'50″ = 0.11001120859 rad
∠ C' = γ' = 87.43297924986° = 87°25'47″ = 1.61656549102 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 = 89.6   b = 9.05   c = 87.84439762016

Area: T = 393.324433738
Perimeter: p = 186.4943976202
Semiperimeter: s = 93.24769881008

Angle ∠ A = α = 98.30662075014° = 98°18'22″ = 1.7165766996 rad
Angle ∠ B = β = 5.736° = 5°44'10″ = 0.11001120859 rad
Angle ∠ C = γ = 75.95877924986° = 75°57'28″ = 1.32657135716 rad

Height: ha = 8.78795611022
Height: hb = 86.92325054984
Height: hc = 8.95550667988

Median: ma = 43.49993485865
Median: mb = 88.61108709609
Median: mc = 46.10773769724

Inradius: r = 4.21880916016
Circumradius: R = 45.27549274916

Vertex coordinates: A[87.84439762016; 0] B[0; 0] C[89.15113700323; 8.95550667988]
Centroid: CG[58.99884487446; 2.98550222663]
Coordinates of the circumscribed circle: U[43.92219881008; 10.98553548257]
Coordinates of the inscribed circle: I[84.19769881008; 4.21880916016]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 81.69437924986° = 81°41'38″ = 1.7165766996 rad
∠ B' = β' = 174.264° = 174°15'50″ = 0.11001120859 rad
∠ C' = γ' = 104.0422207501° = 104°2'32″ = 1.32657135716 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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