# 16 20 27 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 20   c = 27

Area: T = 158.9565772151
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 36.06765882598° = 36°4' = 0.62994807151 rad
Angle ∠ B = β = 47.38438572905° = 47°23'2″ = 0.8277004322 rad
Angle ∠ C = γ = 96.55495544497° = 96°32'58″ = 1.68551076165 rad

Height: ha = 19.86994715188
Height: hb = 15.89655772151
Height: hc = 11.77545016408

Median: ma = 22.37218573212
Median: mb = 19.81216127562
Median: mc = 12.07326964676

Inradius: r = 5.04662149889
Circumradius: R = 13.58986855241

Vertex coordinates: A[27; 0] B[0; 0] C[10.83333333333; 11.77545016408]
Centroid: CG[12.61111111111; 3.92548338803]
Coordinates of the circumscribed circle: U[13.5; -1.55499594426]
Coordinates of the inscribed circle: I[11.5; 5.04662149889]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.933341174° = 143°56' = 0.62994807151 rad
∠ B' = β' = 132.6166142709° = 132°36'58″ = 0.8277004322 rad
∠ C' = γ' = 83.45504455503° = 83°27'2″ = 1.68551076165 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.