# 5 26 27 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 26   c = 27

Area: T = 64.62219776856
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 10.60991428782° = 10°36'33″ = 0.1855164474 rad
Angle ∠ B = β = 73.20985528854° = 73°12'31″ = 1.27877302885 rad
Angle ∠ C = γ = 96.18223042364° = 96°10'56″ = 1.67986978911 rad

Height: ha = 25.84987910742
Height: hb = 4.97109213604
Height: hc = 4.78768131619

Median: ma = 26.38765496039
Median: mb = 14.42222051019
Median: mc = 12.97111217711

Inradius: r = 2.22883440581
Circumradius: R = 13.57989716042

Vertex coordinates: A[27; 0] B[0; 0] C[1.44444444444; 4.78768131619]
Centroid: CG[9.48114814815; 1.59656043873]
Coordinates of the circumscribed circle: U[13.5; -1.46223507881]
Coordinates of the inscribed circle: I[3; 2.22883440581]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.3910857122° = 169°23'27″ = 0.1855164474 rad
∠ B' = β' = 106.7911447115° = 106°47'29″ = 1.27877302885 rad
∠ C' = γ' = 83.81876957636° = 83°49'4″ = 1.67986978911 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.