# 17 21 27 triangle

### Acute scalene triangle.

Sides: a = 17   b = 21   c = 27

Area: T = 178.549982493
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 39.02327570225° = 39°1'22″ = 0.68110755932 rad
Angle ∠ B = β = 51.05774891935° = 51°3'27″ = 0.89111212942 rad
Angle ∠ C = γ = 89.9219753784° = 89°55'11″ = 1.56993957661 rad

Height: ha = 210.9999794035
Height: hb = 176.9999833267
Height: hc = 13.22222092541

Median: ma = 22.64439837484
Median: mb = 19.96987255477
Median: mc = 13.51985058346

Inradius: r = 5.49223023055
Circumradius: R = 13.55000132406

Vertex coordinates: A[27; 0] B[0; 0] C[10.68551851852; 13.22222092541]
Centroid: CG[12.56217283951; 4.40774030847]
Coordinates of the circumscribed circle: U[13.5; 0.01989075816]
Coordinates of the inscribed circle: I[11.5; 5.49223023055]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.9777242977° = 140°58'38″ = 0.68110755932 rad
∠ B' = β' = 128.9432510806° = 128°56'33″ = 0.89111212942 rad
∠ C' = γ' = 90.0880246216° = 90°4'49″ = 1.56993957661 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.