# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=2.88880901303 and with side c=1.66219979929

### #1 Acute scalene triangle.

Sides: a = 3.4   b = 2.6   c = 2.88880901303

Area: T = 3.64986577009
Perimeter: p = 8.88880901303
Semiperimeter: s = 4.44440450651

Angle ∠ A = α = 76.36219847179° = 76°21'43″ = 1.33327680567 rad
Angle ∠ B = β = 48° = 0.8387758041 rad
Angle ∠ C = γ = 55.63880152821° = 55°38'17″ = 0.97110665559 rad

Height: ha = 2.14662692358
Height: hb = 2.80766597699
Height: hc = 2.52766924066

Median: ma = 2.15988266027
Median: mb = 2.87441141766
Median: mc = 2.66598371848

Inradius: r = 0.821102176
Circumradius: R = 1.74993225485

Vertex coordinates: A[2.88880901303; 0] B[0; 0] C[2.27550440616; 2.52766924066]
Centroid: CG[1.72110447306; 0.84222308022]
Coordinates of the circumscribed circle: U[1.44440450651; 0.98773516235]
Coordinates of the inscribed circle: I[1.84440450651; 0.821102176]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 103.6388015282° = 103°38'17″ = 1.33327680567 rad
∠ B' = β' = 132° = 0.8387758041 rad
∠ C' = γ' = 124.3621984718° = 124°21'43″ = 0.97110665559 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 = 3.4   b = 2.6   c = 1.66219979929

Area: T = 2.10996788543
Perimeter: p = 7.66219979929
Semiperimeter: s = 3.83109989965

Angle ∠ A = α = 103.6388015282° = 103°38'17″ = 1.80988245969 rad
Angle ∠ B = β = 48° = 0.8387758041 rad
Angle ∠ C = γ = 28.36219847179° = 28°21'43″ = 0.49550100157 rad

Height: ha = 1.23551052084
Height: hb = 1.61551375802
Height: hc = 2.52766924066

Median: ma = 1.36878883961
Median: mb = 2.33990422536
Median: mc = 2.91102303462

Inradius: r = 0.54880760648
Circumradius: R = 1.74993225485

Vertex coordinates: A[1.66219979929; 0] B[0; 0] C[2.27550440616; 2.52766924066]
Centroid: CG[1.31223473515; 0.84222308022]
Coordinates of the circumscribed circle: U[0.83109989965; 1.53993407831]
Coordinates of the inscribed circle: I[1.23109989965; 0.54880760648]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 76.36219847179° = 76°21'43″ = 1.80988245969 rad
∠ B' = β' = 132° = 0.8387758041 rad
∠ C' = γ' = 151.6388015282° = 151°38'17″ = 0.49550100157 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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