# 7 24 27 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 24   c = 27

Area: T = 79.87549021909
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 14.27221207873° = 14°16'20″ = 0.2499095499 rad
Angle ∠ B = β = 57.69773438194° = 57°41'50″ = 1.00770086193 rad
Angle ∠ C = γ = 108.0310535393° = 108°1'50″ = 1.88554885353 rad

Height: ha = 22.8211400626
Height: hb = 6.65662418492
Height: hc = 5.91766594215

Median: ma = 25.30331618578
Median: mb = 15.65224758425
Median: mc = 11.41327122105

Inradius: r = 2.75443069721
Circumradius: R = 14.19772004835

Vertex coordinates: A[27; 0] B[0; 0] C[3.74107407407; 5.91766594215]
Centroid: CG[10.24769135802; 1.97222198072]
Coordinates of the circumscribed circle: U[13.5; -4.39443715782]
Coordinates of the inscribed circle: I[5; 2.75443069721]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.7287879213° = 165°43'40″ = 0.2499095499 rad
∠ B' = β' = 122.3032656181° = 122°18'10″ = 1.00770086193 rad
∠ C' = γ' = 71.96994646067° = 71°58'10″ = 1.88554885353 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.