15 20 23 triangle

Acute scalene triangle.

Sides: a = 15   b = 20   c = 23

Area: T = 148.0687552151
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 40.07436640149° = 40°4'25″ = 0.69994173804 rad
Angle ∠ B = β = 59.13332322064° = 59°8' = 1.03220695993 rad
Angle ∠ C = γ = 80.79331037787° = 80°47'35″ = 1.41101056738 rad

Height: ha = 19.74223402868
Height: hb = 14.80767552151
Height: hc = 12.87554393175

Median: ma = 20.20551973512
Median: mb = 16.64333169771
Median: mc = 13.42657215821

Inradius: r = 5.10657776604
Circumradius: R = 11.65500879156

Vertex coordinates: A[23; 0] B[0; 0] C[7.69656521739; 12.87554393175]
Centroid: CG[10.2321884058; 4.29218131058]
Coordinates of the circumscribed circle: U[11.5; 1.86440140665]
Coordinates of the inscribed circle: I[9; 5.10657776604]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.9266335985° = 139°55'35″ = 0.69994173804 rad
∠ B' = β' = 120.8676767794° = 120°52' = 1.03220695993 rad
∠ C' = γ' = 99.20768962213° = 99°12'25″ = 1.41101056738 rad

Calculate another triangle




How did we calculate this triangle?

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.


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