# 17 26 27 triangle

### Acute scalene triangle.

Sides: a = 17   b = 26   c = 27

Area: T = 212.9798872192
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 37.35768519729° = 37°21'25″ = 0.65220000651 rad
Angle ∠ B = β = 68.12770919336° = 68°7'38″ = 1.18990420641 rad
Angle ∠ C = γ = 74.51660560935° = 74°30'58″ = 1.30105505244 rad

Height: ha = 25.05663379049
Height: hb = 16.38329901686
Height: hc = 15.77662127549

Median: ma = 25.10547804213
Median: mb = 18.43990889146
Median: mc = 17.32877234512

Inradius: r = 6.0855110634
Circumradius: R = 14.00884317721

Vertex coordinates: A[27; 0] B[0; 0] C[6.33333333333; 15.77662127549]
Centroid: CG[11.11111111111; 5.2598737585]
Coordinates of the circumscribed circle: U[13.5; 3.74398075772]
Coordinates of the inscribed circle: I[9; 6.0855110634]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.6433148027° = 142°38'35″ = 0.65220000651 rad
∠ B' = β' = 111.8732908066° = 111°52'22″ = 1.18990420641 rad
∠ C' = γ' = 105.4843943906° = 105°29'2″ = 1.30105505244 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.