# 15 17 27 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 17   c = 27

Area: T = 115.6176553746
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 30.25501231211° = 30°15' = 0.52879642476 rad
Angle ∠ B = β = 34.81662157084° = 34°48'58″ = 0.60876575972 rad
Angle ∠ C = γ = 114.934366117° = 114°56'1″ = 2.00659708088 rad

Height: ha = 15.41655404994
Height: hb = 13.60219474995
Height: hc = 8.56441891663

Median: ma = 21.2787922831
Median: mb = 20.11883995387
Median: mc = 8.64658082329

Inradius: r = 3.91992052117
Circumradius: R = 14.88875740042

Vertex coordinates: A[27; 0] B[0; 0] C[12.31548148148; 8.56441891663]
Centroid: CG[13.10549382716; 2.85547297221]
Coordinates of the circumscribed circle: U[13.5; -6.2766134139]
Coordinates of the inscribed circle: I[12.5; 3.91992052117]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.7549876879° = 149°45' = 0.52879642476 rad
∠ B' = β' = 145.1843784292° = 145°11'2″ = 0.60876575972 rad
∠ C' = γ' = 65.06663388295° = 65°3'59″ = 2.00659708088 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.