# 6 16 16 triangle

### Acute isosceles triangle.

Sides: a = 6   b = 16   c = 16

Area: T = 47.14987009365
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 21.61438457497° = 21°36'50″ = 0.37772327724 rad
Angle ∠ B = β = 79.19330771251° = 79°11'35″ = 1.38221799406 rad
Angle ∠ C = γ = 79.19330771251° = 79°11'35″ = 1.38221799406 rad

Height: ha = 15.71662336455
Height: hb = 5.89435876171
Height: hc = 5.89435876171

Median: ma = 15.71662336455
Median: mb = 9.05553851381
Median: mc = 9.05553851381

Inradius: r = 2.48215105756
Circumradius: R = 8.14444449661

Vertex coordinates: A[16; 0] B[0; 0] C[1.125; 5.89435876171]
Centroid: CG[5.70883333333; 1.96545292057]
Coordinates of the circumscribed circle: U[8; 1.52770834311]
Coordinates of the inscribed circle: I[3; 2.48215105756]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.386615425° = 158°23'10″ = 0.37772327724 rad
∠ B' = β' = 100.8076922875° = 100°48'25″ = 1.38221799406 rad
∠ C' = γ' = 100.8076922875° = 100°48'25″ = 1.38221799406 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.