# 16 23 23 triangle

### Acute isosceles triangle.

Sides: a = 16   b = 23   c = 23

Area: T = 172.5110869223
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 40.70988127965° = 40°42'32″ = 0.71105028179 rad
Angle ∠ B = β = 69.64655936018° = 69°38'44″ = 1.21655449179 rad
Angle ∠ C = γ = 69.64655936018° = 69°38'44″ = 1.21655449179 rad

Height: ha = 21.56438586528
Height: hb = 15.00109451498
Height: hc = 15.00109451498

Median: ma = 21.56438586528
Median: mb = 16.13222658049
Median: mc = 16.13222658049

Inradius: r = 5.56548667491
Circumradius: R = 12.26658937929

Vertex coordinates: A[23; 0] B[0; 0] C[5.56552173913; 15.00109451498]
Centroid: CG[9.52217391304; 55.0003150499]
Coordinates of the circumscribed circle: U[11.5; 4.2666397841]
Coordinates of the inscribed circle: I[8; 5.56548667491]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.2911187204° = 139°17'28″ = 0.71105028179 rad
∠ B' = β' = 110.3544406398° = 110°21'16″ = 1.21655449179 rad
∠ C' = γ' = 110.3544406398° = 110°21'16″ = 1.21655449179 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.