# 16 21 27 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 21   c = 27

Area: T = 167.8099415707
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 36.29333999285° = 36°17'36″ = 0.63334393255 rad
Angle ∠ B = β = 50.97771974348° = 50°58'38″ = 0.89897199387 rad
Angle ∠ C = γ = 92.72994026368° = 92°43'46″ = 1.61884333894 rad

Height: ha = 20.97661769634
Height: hb = 15.9821849115
Height: hc = 12.43303270894

Median: ma = 22.8255424421
Median: mb = 19.5511214796
Median: mc = 12.89437969582

Inradius: r = 5.24440442409
Circumradius: R = 13.51553322026

Vertex coordinates: A[27; 0] B[0; 0] C[10.07440740741; 12.43303270894]
Centroid: CG[12.35880246914; 4.14334423631]
Coordinates of the circumscribed circle: U[13.5; -0.64435872477]
Coordinates of the inscribed circle: I[11; 5.24440442409]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.7076600072° = 143°42'24″ = 0.63334393255 rad
∠ B' = β' = 129.0232802565° = 129°1'22″ = 0.89897199387 rad
∠ C' = γ' = 87.27105973632° = 87°16'14″ = 1.61884333894 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.