# 49 36 60 triangle

### Acute scalene triangle.

Sides: a = 49   b = 36   c = 60

Area: T = 881.6676568211
Perimeter: p = 145
Semiperimeter: s = 72.5

Angle ∠ A = α = 54.72218533956° = 54°43'19″ = 0.95550765145 rad
Angle ∠ B = β = 36.85436542753° = 36°51'13″ = 0.64332176085 rad
Angle ∠ C = γ = 88.42444923291° = 88°25'28″ = 1.54332985305 rad

Height: ha = 35.98663905392
Height: hb = 48.98114760117
Height: hc = 29.3898885607

Median: ma = 42.98554626589
Median: mb = 51.7354901179
Median: mc = 30.79877271889

Inradius: r = 12.16109181822
Circumradius: R = 30.01113455064

Vertex coordinates: A[60; 0] B[0; 0] C[39.20883333333; 29.3898885607]
Centroid: CG[33.06994444444; 9.79662952023]
Coordinates of the circumscribed circle: U[30; 0.82551418691]
Coordinates of the inscribed circle: I[36.5; 12.16109181822]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.2788146604° = 125°16'41″ = 0.95550765145 rad
∠ B' = β' = 143.1466345725° = 143°8'47″ = 0.64332176085 rad
∠ C' = γ' = 91.57655076709° = 91°34'32″ = 1.54332985305 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    