# 17 19 30 triangle

### Obtuse scalene triangle.

Sides: a = 17   b = 19   c = 30

Area: T = 148.9166083752
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 31.50109414399° = 31°30'3″ = 0.55497951456 rad
Angle ∠ B = β = 35.731129198° = 35°43'53″ = 0.6243628691 rad
Angle ∠ C = γ = 112.768776658° = 112°46'4″ = 1.96881688169 rad

Height: ha = 17.52195392649
Height: hb = 15.6755377237
Height: hc = 9.92877389168

Median: ma = 23.62773147014
Median: mb = 22.45655115729
Median: mc = 10

Inradius: r = 4.51326085985
Circumradius: R = 16.26875510863

Vertex coordinates: A[30; 0] B[0; 0] C[13.8; 9.92877389168]
Centroid: CG[14.6; 3.30992463056]
Coordinates of the circumscribed circle: U[15; -6.29554919064]
Coordinates of the inscribed circle: I[14; 4.51326085985]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.499905856° = 148°29'57″ = 0.55497951456 rad
∠ B' = β' = 144.269870802° = 144°16'7″ = 0.6243628691 rad
∠ C' = γ' = 67.23222334198° = 67°13'56″ = 1.96881688169 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.