# 10 26 27 triangle

### Acute scalene triangle.

Sides: a = 10   b = 26   c = 27

Area: T = 129.4687901427
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 21.64549837391° = 21°38'42″ = 0.37877762328 rad
Angle ∠ B = β = 73.54107503717° = 73°32'27″ = 1.28435282284 rad
Angle ∠ C = γ = 84.81442658892° = 84°48'51″ = 1.48802881924 rad

Height: ha = 25.89435802855
Height: hb = 9.95990693406
Height: hc = 9.59902149205

Median: ma = 26.02988301696
Median: mb = 15.6688439616
Median: mc = 14.34439882878

Inradius: r = 4.11100921088
Circumradius: R = 13.55554834878

Vertex coordinates: A[27; 0] B[0; 0] C[2.83333333333; 9.59902149205]
Centroid: CG[9.94444444444; 3.19767383068]
Coordinates of the circumscribed circle: U[13.5; 1.22552071614]
Coordinates of the inscribed circle: I[5.5; 4.11100921088]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.3555016261° = 158°21'18″ = 0.37877762328 rad
∠ B' = β' = 106.4599249628° = 106°27'33″ = 1.28435282284 rad
∠ C' = γ' = 95.18657341108° = 95°11'9″ = 1.48802881924 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.