# 5 16 16 triangle

### Acute isosceles triangle.

Sides: a = 5   b = 16   c = 16

Area: T = 39.50987015732
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 17.97985986903° = 17°58'43″ = 0.3143785742 rad
Angle ∠ B = β = 81.01107006548° = 81°39″ = 1.41439034558 rad
Angle ∠ C = γ = 81.01107006548° = 81°39″ = 1.41439034558 rad

Height: ha = 15.80334806293
Height: hb = 4.93985876966
Height: hc = 4.93985876966

Median: ma = 15.80334806293
Median: mb = 8.74664278423
Median: mc = 8.74664278423

Inradius: r = 2.13656054904
Circumradius: R = 8.09994815638

Vertex coordinates: A[16; 0] B[0; 0] C[0.781125; 4.93985876966]
Centroid: CG[5.594375; 1.64661958989]
Coordinates of the circumscribed circle: U[8; 1.26655439943]
Coordinates of the inscribed circle: I[2.5; 2.13656054904]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.021140131° = 162°1'17″ = 0.3143785742 rad
∠ B' = β' = 98.98992993452° = 98°59'21″ = 1.41439034558 rad
∠ C' = γ' = 98.98992993452° = 98°59'21″ = 1.41439034558 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.