# 52.15 48 60 triangle

### Acute scalene triangle.

Sides: a = 52.15   b = 48   c = 60

Area: T = 1199.931072554
Perimeter: p = 160.15
Semiperimeter: s = 80.075

Angle ∠ A = α = 56.43877041527° = 56°26'16″ = 0.98550237597 rad
Angle ∠ B = β = 50.08329233523° = 50°4'59″ = 0.87441119115 rad
Angle ∠ C = γ = 73.47993724951° = 73°28'46″ = 1.28224569823 rad

Height: ha = 46.01884362623
Height: hb = 49.99771135641
Height: hc = 39.99876908513

Median: ma = 47.66664911127
Median: mb = 50.83112035073
Median: mc = 40.14773691542

Vertex coordinates: A[60; 0] B[0; 0] C[33.46435208333; 39.99876908513]
Centroid: CG[31.15545069444; 13.33325636171]
Coordinates of the circumscribed circle: U[30; 8.8988154304]
Coordinates of the inscribed circle: I[32.075; 14.98550855515]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.5622295847° = 123°33'44″ = 0.98550237597 rad
∠ B' = β' = 129.9177076648° = 129°55'1″ = 0.87441119115 rad
∠ C' = γ' = 106.5210627505° = 106°31'14″ = 1.28224569823 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    