# 15.62 7.81 17.46 triangle

### Acute scalene triangle.

Sides: a = 15.62   b = 7.81   c = 17.46

Area: T = 60.99660914876
Perimeter: p = 40.89
Semiperimeter: s = 20.445

Angle ∠ A = α = 63.45991668033° = 63°27'33″ = 1.10875714013 rad
Angle ∠ B = β = 26.57111032727° = 26°34'16″ = 0.4643753238 rad
Angle ∠ C = γ = 89.9769729924° = 89°58'11″ = 1.57702680143 rad

Height: ha = 7.81099989101
Height: hb = 15.62199978201
Height: hc = 6.98769520604

Median: ma = 11.0422089929
Median: mb = 16.09987258813
Median: mc = 8.73436905143

Inradius: r = 2.98334234036
Circumradius: R = 8.73300012183

Vertex coordinates: A[17.46; 0] B[0; 0] C[13.97702147766; 6.98769520604]
Centroid: CG[10.47767382589; 2.32989840201]
Coordinates of the circumscribed circle: U[8.73; 0.00546121685]
Coordinates of the inscribed circle: I[12.635; 2.98334234036]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5410833197° = 116°32'27″ = 1.10875714013 rad
∠ B' = β' = 153.4298896727° = 153°25'44″ = 0.4643753238 rad
∠ C' = γ' = 90.0330270076° = 90°1'49″ = 1.57702680143 rad

# 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. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    