# 17 27 28 triangle

### Acute scalene triangle.

Sides: a = 17   b = 27   c = 28

Area: T = 221.9198904107
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 35.95105676196° = 35°57'2″ = 0.62774557729 rad
Angle ∠ B = β = 68.81772083269° = 68°49'2″ = 1.20110868673 rad
Angle ∠ C = γ = 75.23222240535° = 75°13'56″ = 1.31330500133 rad

Height: ha = 26.10881063655
Height: hb = 16.43884373413
Height: hc = 15.85113502933

Median: ma = 26.15881727191
Median: mb = 18.82215302247
Median: mc = 17.6921806013

Inradius: r = 6.1644414003
Circumradius: R = 14.47882618359

Vertex coordinates: A[28; 0] B[0; 0] C[6.14328571429; 15.85113502933]
Centroid: CG[11.3810952381; 5.28437834311]
Coordinates of the circumscribed circle: U[14; 3.69105373307]
Coordinates of the inscribed circle: I[9; 6.1644414003]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.049943238° = 144°2'58″ = 0.62774557729 rad
∠ B' = β' = 111.1832791673° = 111°10'58″ = 1.20110868673 rad
∠ C' = γ' = 104.7687775947° = 104°46'4″ = 1.31330500133 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.