# 9 15 19 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 15   c = 19

Area: T = 66.08546994394
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 27.63295013938° = 27°37'46″ = 0.482222577 rad
Angle ∠ B = β = 50.61768729893° = 50°37'1″ = 0.88334310907 rad
Angle ∠ C = γ = 101.7543625617° = 101°45'13″ = 1.77659357929 rad

Height: ha = 14.68554887643
Height: hb = 8.81112932586
Height: hc = 6.95662841515

Median: ma = 16.51551445649
Median: mb = 12.8355497653
Median: mc = 7.92114897589

Inradius: r = 3.07437069507
Circumradius: R = 9.70334564043

Vertex coordinates: A[19; 0] B[0; 0] C[5.71105263158; 6.95662841515]
Centroid: CG[8.23768421053; 2.31987613838]
Coordinates of the circumscribed circle: U[9.5; -1.97766300083]
Coordinates of the inscribed circle: I[6.5; 3.07437069507]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.3770498606° = 152°22'14″ = 0.482222577 rad
∠ B' = β' = 129.3833127011° = 129°22'59″ = 0.88334310907 rad
∠ C' = γ' = 78.24663743831° = 78°14'47″ = 1.77659357929 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.