# 24 26 27 triangle

### Acute scalene triangle.

Sides: a = 24   b = 26   c = 27

Area: T = 283.2821551641
Perimeter: p = 77
Semiperimeter: s = 38.5

Angle ∠ A = α = 53.81106373026° = 53°48'38″ = 0.93991727935 rad
Angle ∠ B = β = 60.96552816779° = 60°57'55″ = 1.06440448947 rad
Angle ∠ C = γ = 65.22440810195° = 65°13'27″ = 1.13883749654 rad

Height: ha = 23.60767959701
Height: hb = 21.79108885878
Height: hc = 20.98438186401

Median: ma = 23.63326045962
Median: mb = 21.98986334273
Median: mc = 21.06553744329

Inradius: r = 7.35879623803
Circumradius: R = 14.86985997221

Vertex coordinates: A[27; 0] B[0; 0] C[11.64881481481; 20.98438186401]
Centroid: CG[12.88327160494; 6.99546062134]
Coordinates of the circumscribed circle: U[13.5; 6.23109917105]
Coordinates of the inscribed circle: I[12.5; 7.35879623803]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.1899362697° = 126°11'22″ = 0.93991727935 rad
∠ B' = β' = 119.0354718322° = 119°2'5″ = 1.06440448947 rad
∠ C' = γ' = 114.7765918981° = 114°46'33″ = 1.13883749654 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.