# 17 28 30 triangle

### Acute scalene triangle.

Sides: a = 17   b = 28   c = 30

Area: T = 234.0377256649
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 33.86545572968° = 33°51'52″ = 0.59110480246 rad
Angle ∠ B = β = 66.60655603774° = 66°36'20″ = 1.16224863287 rad
Angle ∠ C = γ = 79.53298823258° = 79°31'48″ = 1.38880583003 rad

Height: ha = 27.53437948999
Height: hb = 16.71769469035
Height: hc = 15.60224837766

Median: ma = 27.7444368798
Median: mb = 19.96224647777
Median: mc = 17.64993625947

Inradius: r = 6.24109935107
Circumradius: R = 15.25439815716

Vertex coordinates: A[30; 0] B[0; 0] C[6.75; 15.60224837766]
Centroid: CG[12.25; 5.20108279255]
Coordinates of the circumscribed circle: U[15; 2.77219945503]
Coordinates of the inscribed circle: I[9.5; 6.24109935107]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.1355442703° = 146°8'8″ = 0.59110480246 rad
∠ B' = β' = 113.3944439623° = 113°23'40″ = 1.16224863287 rad
∠ C' = γ' = 100.4770117674° = 100°28'12″ = 1.38880583003 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.