# 5 17 17 triangle

### Acute isosceles triangle.

Sides: a = 5   b = 17   c = 17

Area: T = 42.0387929302
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 16.91330386705° = 16°54'47″ = 0.29551882113 rad
Angle ∠ B = β = 81.54334806647° = 81°32'37″ = 1.42332022211 rad
Angle ∠ C = γ = 81.54334806647° = 81°32'37″ = 1.42332022211 rad

Height: ha = 16.81551717208
Height: hb = 4.94656387414
Height: hc = 4.94656387414

Median: ma = 16.81551717208
Median: mb = 9.20659763198
Median: mc = 9.20659763198

Inradius: r = 2.15657912463
Circumradius: R = 8.59334299334

Vertex coordinates: A[17; 0] B[0; 0] C[0.73552941176; 4.94656387414]
Centroid: CG[5.91217647059; 1.64985462471]
Coordinates of the circumscribed circle: U[8.5; 1.26437396961]
Coordinates of the inscribed circle: I[2.5; 2.15657912463]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.0876961329° = 163°5'13″ = 0.29551882113 rad
∠ B' = β' = 98.45765193353° = 98°27'23″ = 1.42332022211 rad
∠ C' = γ' = 98.45765193353° = 98°27'23″ = 1.42332022211 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.