# 8 26 27 triangle

### Acute scalene triangle.

Sides: a = 8   b = 26   c = 27

Area: T = 103.9643635469
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 17.22990702856° = 17°13'45″ = 0.30107040035 rad
Angle ∠ B = β = 74.2866138952° = 74°17'10″ = 1.29765377133 rad
Angle ∠ C = γ = 88.48547907624° = 88°29'5″ = 1.54443509367 rad

Height: ha = 25.99109088673
Height: hb = 7.99772027284
Height: hc = 7.70110100348

Median: ma = 26.20111450131
Median: mb = 15.0833103129
Median: mc = 13.7022189606

Inradius: r = 3.40986437859
Circumradius: R = 13.50547220469

Vertex coordinates: A[27; 0] B[0; 0] C[2.16766666667; 7.70110100348]
Centroid: CG[9.72222222222; 2.56770033449]
Coordinates of the circumscribed circle: U[13.5; 0.35770960157]
Coordinates of the inscribed circle: I[4.5; 3.40986437859]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.7710929714° = 162°46'15″ = 0.30107040035 rad
∠ B' = β' = 105.7143861048° = 105°42'50″ = 1.29765377133 rad
∠ C' = γ' = 91.51552092376° = 91°30'55″ = 1.54443509367 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.