# 17 17 30 triangle

### Obtuse isosceles triangle.

Sides: a = 17   b = 17   c = 30

Area: T = 120
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 28.07224869359° = 28°4'21″ = 0.49899573263 rad
Angle ∠ B = β = 28.07224869359° = 28°4'21″ = 0.49899573263 rad
Angle ∠ C = γ = 123.8555026128° = 123°51'18″ = 2.16216780011 rad

Height: ha = 14.11876470588
Height: hb = 14.11876470588
Height: hc = 8

Median: ma = 22.85327897641
Median: mb = 22.85327897641
Median: mc = 8

Inradius: r = 3.75
Circumradius: R = 18.06325

Vertex coordinates: A[30; 0] B[0; 0] C[15; 8]
Centroid: CG[15; 2.66766666667]
Coordinates of the circumscribed circle: U[15; -10.06325]
Coordinates of the inscribed circle: I[15; 3.75]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.9287513064° = 151°55'39″ = 0.49899573263 rad
∠ B' = β' = 151.9287513064° = 151°55'39″ = 0.49899573263 rad
∠ C' = γ' = 56.14549738717° = 56°8'42″ = 2.16216780011 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.