# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=139.9321811185 and with side c=66.18222349154

### #1 Obtuse scalene triangle.

Sides: a = 119   b = 70   c = 139.9321811185

Area: T = 4162.971138276
Perimeter: p = 328.9321811185
Semiperimeter: s = 164.4665905593

Angle ∠ A = α = 58.21216693829° = 58°12'42″ = 1.01659852938 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 91.78883306171° = 91°47'18″ = 1.60220085842 rad

Height: ha = 69.96659055927
Height: hb = 118.9422039507
Height: hc = 59.5

Median: ma = 93.27548942149
Median: mb = 125.0843795477
Median: mc = 68.08328323045

Inradius: r = 25.31220631158
Circumradius: R = 70

Vertex coordinates: A[139.9321811185; 0] B[0; 0] C[103.057702305; 59.5]
Centroid: CG[80.99662780786; 19.83333333333]
Coordinates of the circumscribed circle: U[69.96659055927; -2.18545032841]
Coordinates of the inscribed circle: I[94.46659055927; 25.31220631158]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.7888330617° = 121°47'18″ = 1.01659852938 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 88.21216693829° = 88°12'42″ = 1.60220085842 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 = 119   b = 70   c = 66.18222349154

Area: T = 1968.921148873
Perimeter: p = 255.1822234915
Semiperimeter: s = 127.5911117458

Angle ∠ A = α = 121.7888330617° = 121°47'18″ = 2.12656073598 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 28.21216693829° = 28°12'42″ = 0.49223865182 rad

Height: ha = 33.09111174577
Height: hb = 56.25548996781
Height: hc = 59.5

Median: ma = 33.16331438376
Median: mb = 89.69769570788
Median: mc = 91.84548580237

Inradius: r = 15.4311493414
Circumradius: R = 70

Vertex coordinates: A[66.18222349154; 0] B[0; 0] C[103.057702305; 59.5]
Centroid: CG[56.41330859886; 19.83333333333]
Coordinates of the circumscribed circle: U[33.09111174577; 61.68545032841]
Coordinates of the inscribed circle: I[57.59111174577; 15.4311493414]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 58.21216693829° = 58°12'42″ = 2.12656073598 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 151.7888330617° = 151°47'18″ = 0.49223865182 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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