# 17 30 30 triangle

### Acute isosceles triangle.

Sides: a = 17   b = 30   c = 30

Area: T = 244.5550480474
Perimeter: p = 77
Semiperimeter: s = 38.5

Angle ∠ A = α = 32.91884992565° = 32°55'7″ = 0.57545361968 rad
Angle ∠ B = β = 73.54107503717° = 73°32'27″ = 1.28435282284 rad
Angle ∠ C = γ = 73.54107503717° = 73°32'27″ = 1.28435282284 rad

Height: ha = 28.77106447616
Height: hb = 16.30333653649
Height: hc = 16.30333653649

Median: ma = 28.77106447616
Median: mb = 19.22223827867
Median: mc = 19.22223827867

Inradius: r = 6.35219605318
Circumradius: R = 15.64109424859

Vertex coordinates: A[30; 0] B[0; 0] C[4.81766666667; 16.30333653649]
Centroid: CG[11.60655555556; 5.43444551216]
Coordinates of the circumscribed circle: U[15; 4.4321600371]
Coordinates of the inscribed circle: I[8.5; 6.35219605318]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.0821500743° = 147°4'53″ = 0.57545361968 rad
∠ B' = β' = 106.4599249628° = 106°27'33″ = 1.28435282284 rad
∠ C' = γ' = 106.4599249628° = 106°27'33″ = 1.28435282284 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.