# 17 25 30 triangle

### Acute scalene triangle.

Sides: a = 17   b = 25   c = 30

Area: T = 212.4711174515
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 34.5132762755° = 34°30'46″ = 0.6022361344 rad
Angle ∠ B = β = 56.43109751098° = 56°25'52″ = 0.98549063158 rad
Angle ∠ C = γ = 89.05662621352° = 89°3'23″ = 1.55443249938 rad

Height: ha = 24.99766087665
Height: hb = 16.99876939612
Height: hc = 14.16547449677

Median: ma = 26.27326093108
Median: mb = 20.93444214155
Median: mc = 15.23215462117

Inradius: r = 5.90219770699
Circumradius: R = 15.00220350161

Vertex coordinates: A[30; 0] B[0; 0] C[9.4; 14.16547449677]
Centroid: CG[13.13333333333; 4.72215816559]
Coordinates of the circumscribed circle: U[15; 0.24770923414]
Coordinates of the inscribed circle: I[11; 5.90219770699]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.4877237245° = 145°29'14″ = 0.6022361344 rad
∠ B' = β' = 123.569902489° = 123°34'8″ = 0.98549063158 rad
∠ C' = γ' = 90.94437378648° = 90°56'37″ = 1.55443249938 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.