# 7 17 19 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 17   c = 19

Area: T = 59.22215121387
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 21.51220360096° = 21°30'43″ = 0.37554558572 rad
Angle ∠ B = β = 62.9422322125° = 62°56'32″ = 1.09985507599 rad
Angle ∠ C = γ = 95.54656418654° = 95°32'44″ = 1.66875860365 rad

Height: ha = 16.92204320396
Height: hb = 6.96772367222
Height: hc = 6.2343843383

Median: ma = 17.68547391838
Median: mb = 11.52217186218
Median: mc = 8.87441196746

Inradius: r = 2.75444889367
Circumradius: R = 9.54546735415

Vertex coordinates: A[19; 0] B[0; 0] C[3.18442105263; 6.2343843383]
Centroid: CG[7.39547368421; 2.07879477943]
Coordinates of the circumscribed circle: U[9.5; -0.92223844179]
Coordinates of the inscribed circle: I[4.5; 2.75444889367]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.488796399° = 158°29'17″ = 0.37554558572 rad
∠ B' = β' = 117.0587677875° = 117°3'28″ = 1.09985507599 rad
∠ C' = γ' = 84.45443581346° = 84°27'16″ = 1.66875860365 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.