# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=102.3832524717 and with side c=73.81114245661

### #1 Acute scalene triangle.

Sides: a = 131   b = 98   c = 102.3832524717

Area: T = 4963.157671584
Perimeter: p = 331.3832524717
Semiperimeter: s = 165.6911262358

Angle ∠ A = α = 81.61880760505° = 81°37'5″ = 1.42545041562 rad
Angle ∠ B = β = 47.74° = 47°44'24″ = 0.83332201849 rad
Angle ∠ C = γ = 50.64219239495° = 50°38'31″ = 0.88438683125 rad

Height: ha = 75.77333849747
Height: hb = 101.2898912568
Height: hc = 96.95332003548

Median: ma = 75.84774830411
Median: mb = 106.867716373
Median: mc = 103.7439841229

Inradius: r = 29.95442452945
Circumradius: R = 66.20772007578

Vertex coordinates: A[102.3832524717; 0] B[0; 0] C[88.09769746413; 96.95332003548]
Centroid: CG[63.49331664526; 32.31877334516]
Coordinates of the circumscribed circle: U[51.19112623583; 41.98662845503]
Coordinates of the inscribed circle: I[67.69112623583; 29.95442452945]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 98.38219239495° = 98°22'55″ = 1.42545041562 rad
∠ B' = β' = 132.26° = 132°15'36″ = 0.83332201849 rad
∠ C' = γ' = 129.3588076051° = 129°21'29″ = 0.88438683125 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 = 131   b = 98   c = 73.81114245661

Area: T = 3578.127691722
Perimeter: p = 302.8111424566
Semiperimeter: s = 151.4065712283

Angle ∠ A = α = 98.38219239495° = 98°22'55″ = 1.71770884974 rad
Angle ∠ B = β = 47.74° = 47°44'24″ = 0.83332201849 rad
Angle ∠ C = γ = 33.87880760505° = 33°52'41″ = 0.59112839713 rad

Height: ha = 54.62878918659
Height: hb = 73.02329983105
Height: hc = 96.95332003548

Median: ma = 56.88442086895
Median: mb = 94.35986943436
Median: mc = 109.6387896737

Inradius: r = 23.6332707533
Circumradius: R = 66.20772007578

Vertex coordinates: A[73.81114245661; 0] B[0; 0] C[88.09769746413; 96.95332003548]
Centroid: CG[53.96994664025; 32.31877334516]
Coordinates of the circumscribed circle: U[36.9065712283; 54.96769158045]
Coordinates of the inscribed circle: I[53.4065712283; 23.6332707533]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 81.61880760505° = 81°37'5″ = 1.71770884974 rad
∠ B' = β' = 132.26° = 132°15'36″ = 0.83332201849 rad
∠ C' = γ' = 146.1221923949° = 146°7'19″ = 0.59112839713 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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