# 9 26 27 triangle

### Acute scalene triangle.

Sides: a = 9   b = 26   c = 27

Area: T = 116.7990410565
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 19.43549368501° = 19°26'6″ = 0.3399203638 rad
Angle ∠ B = β = 73.99550641403° = 73°59'42″ = 1.29114574995 rad
Angle ∠ C = γ = 86.57699990096° = 86°34'12″ = 1.51109315162 rad

Height: ha = 25.95334245701
Height: hb = 8.98438777358
Height: hc = 8.65111415234

Median: ma = 26.12199157732
Median: mb = 15.36222914957
Median: mc = 14.00989257261

Inradius: r = 3.76774325989
Circumradius: R = 13.52442267953

Vertex coordinates: A[27; 0] B[0; 0] C[2.48114814815; 8.65111415234]
Centroid: CG[9.82771604938; 2.88437138411]
Coordinates of the circumscribed circle: U[13.5; 0.80991417741]
Coordinates of the inscribed circle: I[5; 3.76774325989]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.565506315° = 160°33'54″ = 0.3399203638 rad
∠ B' = β' = 106.005493586° = 106°18″ = 1.29114574995 rad
∠ C' = γ' = 93.43300009904° = 93°25'48″ = 1.51109315162 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.