# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=57.81444217843 and with side c=3.03303857514

### #1 Obtuse scalene triangle.

Sides: a = 37.7   b = 35.3   c = 57.81444217843

Area: T = 643.6433149567
Perimeter: p = 130.8144421784
Semiperimeter: s = 65.40772108921

Angle ∠ A = α = 39.10662280994° = 39°6'22″ = 0.68325324384 rad
Angle ∠ B = β = 36.2° = 36°12' = 0.63218091892 rad
Angle ∠ C = γ = 104.6943771901° = 104°41'38″ = 1.8277251026 rad

Height: ha = 34.14655251759
Height: hb = 36.46770339698
Height: hc = 22.26658336693

Median: ma = 44.03438072749
Median: mb = 45.50113866066
Median: mc = 22.31773286582

Inradius: r = 9.841055337
Circumradius: R = 29.88545760677

Vertex coordinates: A[57.81444217843; 0] B[0; 0] C[30.42224037678; 22.26658336693]
Centroid: CG[29.4122275184; 7.42219445564]
Coordinates of the circumscribed circle: U[28.90772108921; -7.58803064044]
Coordinates of the inscribed circle: I[30.10772108921; 9.841055337]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.8943771901° = 140°53'38″ = 0.68325324384 rad
∠ B' = β' = 143.8° = 143°48' = 0.63218091892 rad
∠ C' = γ' = 75.30662280994° = 75°18'22″ = 1.8277251026 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 = 37.7   b = 35.3   c = 3.03303857514

Area: T = 33.73770325471
Perimeter: p = 76.03303857514
Semiperimeter: s = 38.01551928757

Angle ∠ A = α = 140.8943771901° = 140°53'38″ = 2.45990602152 rad
Angle ∠ B = β = 36.2° = 36°12' = 0.63218091892 rad
Angle ∠ C = γ = 2.90662280994° = 2°54'22″ = 0.05107232491 rad

Height: ha = 1.79897629998
Height: hb = 1.91114466032
Height: hc = 22.26658336693

Median: ma = 16.50219428826
Median: mb = 20.09326384256
Median: mc = 36.48882746995

Inradius: r = 0.88774618276
Circumradius: R = 29.88545760677

Vertex coordinates: A[3.03303857514; 0] B[0; 0] C[30.42224037678; 22.26658336693]
Centroid: CG[11.15109298397; 7.42219445564]
Coordinates of the circumscribed circle: U[1.51551928757; 29.84661400736]
Coordinates of the inscribed circle: I[2.71551928757; 0.88774618276]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 39.10662280994° = 39°6'22″ = 2.45990602152 rad
∠ B' = β' = 143.8° = 143°48' = 0.63218091892 rad
∠ C' = γ' = 177.0943771901° = 177°5'38″ = 0.05107232491 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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