# 17 27 30 triangle

### Acute scalene triangle.

Sides: a = 17   b = 27   c = 30

Area: T = 227.5966133535
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 34.1921852575° = 34°11'31″ = 0.59767604048 rad
Angle ∠ B = β = 63.1933397692° = 63°11'36″ = 1.10329328552 rad
Angle ∠ C = γ = 82.61547497331° = 82°36'53″ = 1.44218993936 rad

Height: ha = 26.776601571
Height: hb = 16.85989728544
Height: hc = 15.1733075569

Median: ma = 27.24442654517
Median: mb = 20.30439405042
Median: mc = 16.85222995464

Inradius: r = 6.15112468523
Circumradius: R = 15.1255476635

Vertex coordinates: A[30; 0] B[0; 0] C[7.66766666667; 15.1733075569]
Centroid: CG[12.55655555556; 5.05876918563]
Coordinates of the circumscribed circle: U[15; 1.94442333801]
Coordinates of the inscribed circle: I[10; 6.15112468523]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.8088147425° = 145°48'29″ = 0.59767604048 rad
∠ B' = β' = 116.8076602308° = 116°48'24″ = 1.10329328552 rad
∠ C' = γ' = 97.38552502669° = 97°23'7″ = 1.44218993936 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.